Live analysis

1,013,800

1,013,800 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.).

1,013,800 (one million thirteen thousand eight hundred) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 37 × 137. Its proper divisors sum to 1,424,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7828.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,788 1,013,789 1,013,790 1,013,791 1,013,792 1,013,793 1,013,794 1,013,795 1,013,796 1,013,797 1,013,798 1,013,799 1,013,800 1,013,801 1,013,802 1,013,803 1,013,804 1,013,805 1,013,806 1,013,807 1,013,808 1,013,809 1,013,810 1,013,811 1,013,812

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 83,101
Square (n²): 1,027,790,440,000
Cube (n³): 1,041,973,948,072,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,438,460
φ(n) — Euler's totient: 391,680
Sum of prime factors: 190

Primality

Prime factorization: 2 ³ × 5 ² × 37 × 137

Nearest primes: 1,013,791 (−9) · 1,013,813 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 37 · 40 · 50 · 74 · 100 · 137 · 148 · 185 · 200 · 274 · 296 · 370 · 548 · 685 · 740 · 925 · 1096 · 1370 · 1480 · 1850 · 2740 · 3425 · 3700 · 5069 · 5480 · 6850 · 7400 · 10138 · 13700 · 20276 · 25345 · 27400 · 40552 · 50690 · 101380 · 126725 · 202760 · 253450 · 506900 (half) · 1013800

Aliquot sum (sum of proper divisors): 1,424,660

Factor pairs (a × b = 1,013,800)

1 × 1013800

2 × 506900

4 × 253450

5 × 202760

8 × 126725

10 × 101380

20 × 50690

25 × 40552

37 × 27400

40 × 25345

50 × 20276

74 × 13700

100 × 10138

137 × 7400

148 × 6850

185 × 5480

200 × 5069

274 × 3700

296 × 3425

370 × 2740

548 × 1850

685 × 1480

740 × 1370

925 × 1096

First multiples

1,013,800 · 2,027,600 (double) · 3,041,400 · 4,055,200 · 5,069,000 · 6,082,800 · 7,096,600 · 8,110,400 · 9,124,200 · 10,138,000

Sums & aliquot sequence

As a sum of two squares: 42² + 1,006² = 270² + 970² = 322² + 954² = 366² + 938²

As consecutive integers: 202,758 + 202,759 + 202,760 + 202,761 + 202,762 63,355 + 63,356 + … + 63,370 40,540 + 40,541 + … + 40,564 27,382 + 27,383 + … + 27,418

Aliquot sequence: 1,013,800 → 1,424,660 → 1,567,168 → 1,614,944 → 1,600,576 → 1,622,684 → 1,882,132 → 1,882,188 → 4,217,724 → 8,518,356 → 18,869,004 → 42,148,596 → 70,247,884 → 71,542,996 → 73,892,140 → 112,789,460 → 157,905,580 — unresolved within range

Continued fraction of √n

√1,013,800 = [1006; (1, 7, 11, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 12, 41, 55, 1, 10, 1, 1, 9, 2, 80, …)]

Representations

In words: one million thirteen thousand eight hundred
Ordinal: 1013800th
Binary: 11110111100000101000
Octal: 3674050
Hexadecimal: 0xF7828
Base64: D3go
One's complement: 4,293,953,495 (32-bit)
Scientific notation: 1.0138 × 10⁶
As a duration: 1,013,800 s = 11 days, 17 hours, 36 minutes, 40 seconds

In other bases

ternary (3) 1220111200011

quaternary (4) 3313200220

quinary (5) 224420200

senary (6) 33421304

septenary (7) 11421454

nonary (9) 1814604

undecimal (11) 632757

duodecimal (12) 40a834

tridecimal (13) 2965a8

tetradecimal (14) 1c5664

pentadecimal (15) 1505ba

As an angle

1,013,800° = 2,816 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百零一萬三千八百
Chinese (financial): 壹佰零壹萬參仟捌佰

In other modern scripts

Eastern Arabic ١٠١٣٨٠٠ Devanagari १०१३८०० Bengali ১০১৩৮০০ Tamil ௧௦௧௩௮௦௦ Thai ๑๐๑๓๘๐๐ Tibetan ༡༠༡༣༨༠༠ Khmer ១០១៣៨០០ Lao ໑໐໑໓໘໐໐ Burmese ၁၀၁၃၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013800, here are decompositions:

59 + 1013741 = 1013800
71 + 1013729 = 1013800
83 + 1013717 = 1013800
89 + 1013711 = 1013800
101 + 1013699 = 1013800
113 + 1013687 = 1013800
173 + 1013627 = 1013800
191 + 1013609 = 1013800

Showing the first eight; more decompositions exist.

Hex color

#0F7828

RGB(15, 120, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.40.

Address: 0.15.120.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.40

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3800 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3800-10-01 (MMDYYYY (US, single-digit day))
3800-01-10 (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 1,013,800 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 US1,013,800 on Google Patents ↗ Look up on USPTO ↗