Live analysis

1,013,320

1,013,320 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,013,320 (one million thirteen thousand three hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 5 × 7² × 11 × 47. Its proper divisors sum to 1,941,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7648.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,308 1,013,309 1,013,310 1,013,311 1,013,312 1,013,313 1,013,314 1,013,315 1,013,316 1,013,317 1,013,318 1,013,319 1,013,320 1,013,321 1,013,322 1,013,323 1,013,324 1,013,325 1,013,326 1,013,327 1,013,328 1,013,329 1,013,330 1,013,331 1,013,332

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 233,101
Square (n²): 1,026,817,422,400
Cube (n³): 1,040,494,630,466,368,000
Divisor count: 96
σ(n) — sum of divisors: 2,954,880
φ(n) — Euler's totient: 309,120
Sum of prime factors: 83

Primality

Prime factorization: 2 ³ × 5 × 7 ² × 11 × 47

Nearest primes: 1,013,291 (−29) · 1,013,321 (+1)

Divisors & multiples

All divisors (96)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 20 · 22 · 28 · 35 · 40 · 44 · 47 · 49 · 55 · 56 · 70 · 77 · 88 · 94 · 98 · 110 · 140 · 154 · 188 · 196 · 220 · 235 · 245 · 280 · 308 · 329 · 376 · 385 · 392 · 440 · 470 · 490 · 517 · 539 · 616 · 658 · 770 · 940 · 980 · 1034 · 1078 · 1316 · 1540 · 1645 · 1880 · 1960 · 2068 · 2156 · 2303 · 2585 · 2632 · 2695 · 3080 · 3290 · 3619 · 4136 · 4312 · 4606 · 5170 · 5390 · 6580 · 7238 · 9212 · 10340 · 10780 · 11515 · 13160 · 14476 · 18095 · 18424 · 20680 · 21560 · 23030 · 25333 · 28952 · 36190 · 46060 · 50666 · 72380 · 92120 · 101332 · 126665 · 144760 · 202664 · 253330 · 506660 (half) · 1013320

Aliquot sum (sum of proper divisors): 1,941,560

Factor pairs (a × b = 1,013,320)

1 × 1013320

2 × 506660

4 × 253330

5 × 202664

7 × 144760

8 × 126665

10 × 101332

11 × 92120

14 × 72380

20 × 50666

22 × 46060

28 × 36190

35 × 28952

40 × 25333

44 × 23030

47 × 21560

49 × 20680

55 × 18424

56 × 18095

70 × 14476

77 × 13160

88 × 11515

94 × 10780

98 × 10340

110 × 9212

140 × 7238

154 × 6580

188 × 5390

196 × 5170

220 × 4606

235 × 4312

245 × 4136

280 × 3619

308 × 3290

329 × 3080

376 × 2695

385 × 2632

392 × 2585

440 × 2303

470 × 2156

490 × 2068

517 × 1960

539 × 1880

616 × 1645

658 × 1540

770 × 1316

940 × 1078

980 × 1034

First multiples

1,013,320 · 2,026,640 (double) · 3,039,960 · 4,053,280 · 5,066,600 · 6,079,920 · 7,093,240 · 8,106,560 · 9,119,880 · 10,133,200

Sums & aliquot sequence

As consecutive integers: 202,662 + 202,663 + 202,664 + 202,665 + 202,666 144,757 + 144,758 + … + 144,763 92,115 + 92,116 + … + 92,125 63,325 + 63,326 + … + 63,340

Aliquot sequence: 1,013,320 → 1,941,560 → 2,427,040 → 4,757,984 → 6,926,752 → 9,783,872 → 12,405,568 → 15,729,504 → 32,170,656 → 66,411,744 → 138,284,832 → 296,505,888 → 593,013,792 → 1,186,029,600 → 3,259,685,856 → 6,944,596,512 → 13,904,456,160 — keeps growing

Continued fraction of √n

√1,013,320 = [1006; (1, 1, 1, 3, 4, 1, 7, 11, 1, 3, 1, 1, 1, 5, 5, 5, 1, 1, 1, 3, 1, 11, 7, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand three hundred twenty
Ordinal: 1013320th
Binary: 11110111011001001000
Octal: 3673110
Hexadecimal: 0xF7648
Base64: D3ZI
One's complement: 4,293,953,975 (32-bit)
Scientific notation: 1.01332 × 10⁶
As a duration: 1,013,320 s = 11 days, 17 hours, 28 minutes, 40 seconds

In other bases

ternary (3) 1220111000101

quaternary (4) 3313121020

quinary (5) 224411240

senary (6) 33415144

septenary (7) 11420200

nonary (9) 1814011

undecimal (11) 632360

duodecimal (12) 40a4b4

tridecimal (13) 2962c9

tetradecimal (14) 1c5400

pentadecimal (15) 15039a

As an angle

1,013,320° = 2,814 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零一萬三千三百二十
Chinese (financial): 壹佰零壹萬參仟參佰貳拾

In other modern scripts

Eastern Arabic ١٠١٣٣٢٠ Devanagari १०१३३२० Bengali ১০১৩৩২০ Tamil ௧௦௧௩௩௨௦ Thai ๑๐๑๓๓๒๐ Tibetan ༡༠༡༣༣༢༠ Khmer ១០១៣៣២០ Lao ໑໐໑໓໓໒໐ Burmese ၁၀၁၃၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013320, here are decompositions:

29 + 1013291 = 1013320
41 + 1013279 = 1013320
53 + 1013267 = 1013320
71 + 1013249 = 1013320
83 + 1013237 = 1013320
167 + 1013153 = 1013320
257 + 1013063 = 1013320
311 + 1013009 = 1013320

Showing the first eight; more decompositions exist.

Hex color

#0F7648

RGB(15, 118, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.72.

Address: 0.15.118.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.72

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3320-10-01 (MMDYYYY (US, single-digit day))
3320-01-10 (DDMYYYY (Euro, single-digit month))

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,013,320 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,013,320 on Google Patents ↗ Look up on USPTO ↗