Live analysis

1,013,600

1,013,600 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.).

1,013,600 (one million thirteen thousand six hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5² × 7 × 181. Its proper divisors sum to 1,829,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7760.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,588 1,013,589 1,013,590 1,013,591 1,013,592 1,013,593 1,013,594 1,013,595 1,013,596 1,013,597 1,013,598 1,013,599 1,013,600 1,013,601 1,013,602 1,013,603 1,013,604 1,013,605 1,013,606 1,013,607 1,013,608 1,013,609 1,013,610 1,013,611 1,013,612

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 63,101
Square (n²): 1,027,384,960,000
Cube (n³): 1,041,357,395,456,000,000
Divisor count: 72
σ(n) — sum of divisors: 2,843,568
φ(n) — Euler's totient: 345,600
Sum of prime factors: 208

Primality

Prime factorization: 2 ⁵ × 5 ² × 7 × 181

Nearest primes: 1,013,581 (−19) · 1,013,603 (+3)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 32 · 35 · 40 · 50 · 56 · 70 · 80 · 100 · 112 · 140 · 160 · 175 · 181 · 200 · 224 · 280 · 350 · 362 · 400 · 560 · 700 · 724 · 800 · 905 · 1120 · 1267 · 1400 · 1448 · 1810 · 2534 · 2800 · 2896 · 3620 · 4525 · 5068 · 5600 · 5792 · 6335 · 7240 · 9050 · 10136 · 12670 · 14480 · 18100 · 20272 · 25340 · 28960 · 31675 · 36200 · 40544 · 50680 · 63350 · 72400 · 101360 · 126700 · 144800 · 202720 · 253400 · 506800 (half) · 1013600

Aliquot sum (sum of proper divisors): 1,829,968

Factor pairs (a × b = 1,013,600)

1 × 1013600

2 × 506800

4 × 253400

5 × 202720

7 × 144800

8 × 126700

10 × 101360

14 × 72400

16 × 63350

20 × 50680

25 × 40544

28 × 36200

32 × 31675

35 × 28960

40 × 25340

50 × 20272

56 × 18100

70 × 14480

80 × 12670

100 × 10136

112 × 9050

140 × 7240

160 × 6335

175 × 5792

181 × 5600

200 × 5068

224 × 4525

280 × 3620

350 × 2896

362 × 2800

400 × 2534

560 × 1810

700 × 1448

724 × 1400

800 × 1267

905 × 1120

First multiples

1,013,600 · 2,027,200 (double) · 3,040,800 · 4,054,400 · 5,068,000 · 6,081,600 · 7,095,200 · 8,108,800 · 9,122,400 · 10,136,000

Sums & aliquot sequence

As consecutive integers: 202,718 + 202,719 + 202,720 + 202,721 + 202,722 144,797 + 144,798 + … + 144,803 40,532 + 40,533 + … + 40,556 28,943 + 28,944 + … + 28,977

Aliquot sequence: 1,013,600 → 1,829,968 → 2,222,352 → 4,973,616 → 9,831,984 → 17,063,616 → 28,084,376 → 24,573,844 → 20,927,276 → 15,745,444 → 16,627,484 → 12,470,620 → 13,717,724 → 10,288,300 → 14,710,100 → 19,265,590 → 17,452,682 — unresolved within range

Continued fraction of √n

√1,013,600 = [1006; (1, 3, 2, 16, 5, 11, 4, 8, 1, 2, 1, 10, 1, 2, 3, 3, 1, 6, 5, 503, 5, 6, 1, 3, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand six hundred
Ordinal: 1013600th
Binary: 11110111011101100000
Octal: 3673540
Hexadecimal: 0xF7760
Base64: D3dg
One's complement: 4,293,953,695 (32-bit)
Scientific notation: 1.0136 × 10⁶
As a duration: 1,013,600 s = 11 days, 17 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 1220111101202

quaternary (4) 3313131200

quinary (5) 224413400

senary (6) 33420332

septenary (7) 11421050

nonary (9) 1814352

undecimal (11) 632595

duodecimal (12) 40a6a8

tridecimal (13) 296483

tetradecimal (14) 1c5560

pentadecimal (15) 1504d5

As an angle

1,013,600° = 2,815 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百零一萬三千六百
Chinese (financial): 壹佰零壹萬參仟陸佰

In other modern scripts

Eastern Arabic ١٠١٣٦٠٠ Devanagari १०१३६०० Bengali ১০১৩৬০০ Tamil ௧௦௧௩௬௦௦ Thai ๑๐๑๓๖๐๐ Tibetan ༡༠༡༣༦༠༠ Khmer ១០១៣៦០០ Lao ໑໐໑໓໖໐໐ Burmese ၁၀၁၃၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013600, here are decompositions:

19 + 1013581 = 1013600
31 + 1013569 = 1013600
37 + 1013563 = 1013600
67 + 1013533 = 1013600
73 + 1013527 = 1013600
97 + 1013503 = 1013600
199 + 1013401 = 1013600
223 + 1013377 = 1013600

Showing the first eight; more decompositions exist.

Hex color

#0F7760

RGB(15, 119, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.96.

Address: 0.15.119.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3600 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3600-10-01 (MMDYYYY (US, single-digit day))
3600-01-10 (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 1,013,600 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 US1,013,600 on Google Patents ↗ Look up on USPTO ↗