Live analysis

1,013,820

1,013,820 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.).

1,013,820 (one million thirteen thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 61 × 277. Its proper divisors sum to 1,881,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF783C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,013,808 1,013,809 1,013,810 1,013,811 1,013,812 1,013,813 1,013,814 1,013,815 1,013,816 1,013,817 1,013,818 1,013,819 1,013,820 1,013,821 1,013,822 1,013,823 1,013,824 1,013,825 1,013,826 1,013,827 1,013,828 1,013,829 1,013,830 1,013,831 1,013,832

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 283,101
Square (n²): 1,027,830,992,400
Cube (n³): 1,042,035,616,714,968,000
Divisor count: 48
σ(n) — sum of divisors: 2,895,648
φ(n) — Euler's totient: 264,960
Sum of prime factors: 350

Primality

Prime factorization: 2 ² × 3 × 5 × 61 × 277

Nearest primes: 1,013,819 (−1) · 1,013,827 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 61 · 122 · 183 · 244 · 277 · 305 · 366 · 554 · 610 · 732 · 831 · 915 · 1108 · 1220 · 1385 · 1662 · 1830 · 2770 · 3324 · 3660 · 4155 · 5540 · 8310 · 16620 · 16897 · 33794 · 50691 · 67588 · 84485 · 101382 · 168970 · 202764 · 253455 · 337940 · 506910 (half) · 1013820

Aliquot sum (sum of proper divisors): 1,881,828

Factor pairs (a × b = 1,013,820)

1 × 1013820

2 × 506910

3 × 337940

4 × 253455

5 × 202764

6 × 168970

10 × 101382

12 × 84485

15 × 67588

20 × 50691

30 × 33794

60 × 16897

61 × 16620

122 × 8310

183 × 5540

244 × 4155

277 × 3660

305 × 3324

366 × 2770

554 × 1830

610 × 1662

732 × 1385

831 × 1220

915 × 1108

First multiples

1,013,820 · 2,027,640 (double) · 3,041,460 · 4,055,280 · 5,069,100 · 6,082,920 · 7,096,740 · 8,110,560 · 9,124,380 · 10,138,200

Sums & aliquot sequence

As consecutive integers: 337,939 + 337,940 + 337,941 202,762 + 202,763 + 202,764 + 202,765 + 202,766 126,724 + 126,725 + … + 126,731 67,581 + 67,582 + … + 67,595

Aliquot sequence: 1,013,820 → 1,881,828 → 3,242,200 → 5,351,000 → 7,172,680 → 8,965,940 → 10,146,412 → 7,609,816 → 6,721,424 → 6,372,976 → 5,974,696 → 8,338,904 → 9,951,016 → 8,707,154 → 4,353,580 → 7,175,924 → 7,251,916 — unresolved within range

Continued fraction of √n

√1,013,820 = [1006; (1, 7, 1, 3, 1, 6, 5, 1, 3, 1, 5, 16, 2, 7, 1, 6, 1, 2, 1, 14, 15, 3, 3, 1, …)]

Representations

In words: one million thirteen thousand eight hundred twenty
Ordinal: 1013820th
Binary: 11110111100000111100
Octal: 3674074
Hexadecimal: 0xF783C
Base64: D3g8
One's complement: 4,293,953,475 (32-bit)
Scientific notation: 1.01382 × 10⁶
As a duration: 1,013,820 s = 11 days, 17 hours, 37 minutes

In other bases

ternary (3) 1220111200220

quaternary (4) 3313200330

quinary (5) 224420240

senary (6) 33421340

septenary (7) 11421513

nonary (9) 1814626

undecimal (11) 632775

duodecimal (12) 40a850

tridecimal (13) 2965c2

tetradecimal (14) 1c567a

pentadecimal (15) 1505d0

As an angle

1,013,820° = 2,816 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零一萬三千八百二十
Chinese (financial): 壹佰零壹萬參仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٠١٣٨٢٠ Devanagari १०१३८२० Bengali ১০১৩৮২০ Tamil ௧௦௧௩௮௨௦ Thai ๑๐๑๓๘๒๐ Tibetan ༡༠༡༣༨༢༠ Khmer ១០១៣៨២០ Lao ໑໐໑໓໘໒໐ Burmese ၁၀၁၃၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013820, here are decompositions:

7 + 1013813 = 1013820
29 + 1013791 = 1013820
47 + 1013773 = 1013820
53 + 1013767 = 1013820
79 + 1013741 = 1013820
103 + 1013717 = 1013820
107 + 1013713 = 1013820
109 + 1013711 = 1013820

Showing the first eight; more decompositions exist.

Hex color

#0F783C

RGB(15, 120, 60)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.60.

Address: 0.15.120.60
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.60

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3820 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3820-10-01 (MMDYYYY (US, single-digit day))
3820-01-10 (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 1,013,820 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 US1,013,820 on Google Patents ↗ Look up on USPTO ↗