Live analysis

1,013,360

1,013,360 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.).

1,013,360 (one million thirteen thousand three hundred sixty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 53 × 239. Its proper divisors sum to 1,397,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7670.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,348 1,013,349 1,013,350 1,013,351 1,013,352 1,013,353 1,013,354 1,013,355 1,013,356 1,013,357 1,013,358 1,013,359 1,013,360 1,013,361 1,013,362 1,013,363 1,013,364 1,013,365 1,013,366 1,013,367 1,013,368 1,013,369 1,013,370 1,013,371 1,013,372

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 633,101
Square (n²): 1,026,898,489,600
Cube (n³): 1,040,617,853,421,056,000
Divisor count: 40
σ(n) — sum of divisors: 2,410,560
φ(n) — Euler's totient: 396,032
Sum of prime factors: 305

Primality

Prime factorization: 2 ⁴ × 5 × 53 × 239

Nearest primes: 1,013,329 (−31) · 1,013,377 (+17)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 53 · 80 · 106 · 212 · 239 · 265 · 424 · 478 · 530 · 848 · 956 · 1060 · 1195 · 1912 · 2120 · 2390 · 3824 · 4240 · 4780 · 9560 · 12667 · 19120 · 25334 · 50668 · 63335 · 101336 · 126670 · 202672 · 253340 · 506680 (half) · 1013360

Aliquot sum (sum of proper divisors): 1,397,200

Factor pairs (a × b = 1,013,360)

1 × 1013360

2 × 506680

4 × 253340

5 × 202672

8 × 126670

10 × 101336

16 × 63335

20 × 50668

40 × 25334

53 × 19120

80 × 12667

106 × 9560

212 × 4780

239 × 4240

265 × 3824

424 × 2390

478 × 2120

530 × 1912

848 × 1195

956 × 1060

First multiples

1,013,360 · 2,026,720 (double) · 3,040,080 · 4,053,440 · 5,066,800 · 6,080,160 · 7,093,520 · 8,106,880 · 9,120,240 · 10,133,600

Sums & aliquot sequence

As consecutive integers: 202,670 + 202,671 + 202,672 + 202,673 + 202,674 31,652 + 31,653 + … + 31,683 19,094 + 19,095 + … + 19,146 6,254 + 6,255 + … + 6,413

Aliquot sequence: 1,013,360 → 1,397,200 → 2,446,800 → 5,394,960 → 13,175,280 → 32,670,000 → 96,132,520 → 145,364,120 → 221,123,080 → 305,671,760 → 405,985,816 → 355,237,604 → 305,640,796 → 234,138,444 → 344,251,956 → 523,757,004 → 707,138,676 — unresolved within range

Continued fraction of √n

√1,013,360 = [1006; (1, 1, 1, 11, 1, 10, 1, 124, 1, 10, 1, 11, 1, 1, 1, 2012)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand three hundred sixty
Ordinal: 1013360th
Binary: 11110111011001110000
Octal: 3673160
Hexadecimal: 0xF7670
Base64: D3Zw
One's complement: 4,293,953,935 (32-bit)
Scientific notation: 1.01336 × 10⁶
As a duration: 1,013,360 s = 11 days, 17 hours, 29 minutes, 20 seconds

In other bases

ternary (3) 1220111001212

quaternary (4) 3313121300

quinary (5) 224411420

senary (6) 33415252

septenary (7) 11420255

nonary (9) 1814055

undecimal (11) 632397

duodecimal (12) 40a528

tridecimal (13) 29632a

tetradecimal (14) 1c542c

pentadecimal (15) 1503c5

As an angle

1,013,360° = 2,814 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千三百六十
Chinese (financial): 壹佰零壹萬參仟參佰陸拾

In other modern scripts

Eastern Arabic ١٠١٣٣٦٠ Devanagari १०१३३६० Bengali ১০১৩৩৬০ Tamil ௧௦௧௩௩௬௦ Thai ๑๐๑๓๓๖๐ Tibetan ༡༠༡༣༣༦༠ Khmer ១០១៣៣៦០ Lao ໑໐໑໓໓໖໐ Burmese ၁၀၁၃၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013360, here are decompositions:

31 + 1013329 = 1013360
97 + 1013263 = 1013360
157 + 1013203 = 1013360
163 + 1013197 = 1013360
307 + 1013053 = 1013360
331 + 1013029 = 1013360
367 + 1012993 = 1013360
379 + 1012981 = 1013360

Showing the first eight; more decompositions exist.

Hex color

#0F7670

RGB(15, 118, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.112.

Address: 0.15.118.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3360 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3360-10-01 (MMDYYYY (US, single-digit day))
3360-01-10 (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 1,013,360 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 US1,013,360 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013360 first appears in π at position 352,775 of the decimal expansion (the 352,775ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1013360 on Pi Search ↗