Live analysis

1,013,020

1,013,020 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.).

1,013,020 (one million thirteen thousand twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,651. Its proper divisors sum to 1,114,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF751C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,008 1,013,009 1,013,010 1,013,011 1,013,012 1,013,013 1,013,014 1,013,015 1,013,016 1,013,017 1,013,018 1,013,019 1,013,020 1,013,021 1,013,022 1,013,023 1,013,024 1,013,025 1,013,026 1,013,027 1,013,028 1,013,029 1,013,030 1,013,031 1,013,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 203,101
Square (n²): 1,026,209,520,400
Cube (n³): 1,039,570,768,355,608,000
Divisor count: 12
σ(n) — sum of divisors: 2,127,384
φ(n) — Euler's totient: 405,200
Sum of prime factors: 50,660

Primality

Prime factorization: 2 ² × 5 × 50651

Nearest primes: 1,013,009 (−11) · 1,013,029 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50651 · 101302 · 202604 · 253255 · 506510 (half) · 1013020

Aliquot sum (sum of proper divisors): 1,114,364

Factor pairs (a × b = 1,013,020)

1 × 1013020

2 × 506510

4 × 253255

5 × 202604

10 × 101302

20 × 50651

First multiples

1,013,020 · 2,026,040 (double) · 3,039,060 · 4,052,080 · 5,065,100 · 6,078,120 · 7,091,140 · 8,104,160 · 9,117,180 · 10,130,200

Sums & aliquot sequence

As consecutive integers: 202,602 + 202,603 + 202,604 + 202,605 + 202,606 126,624 + 126,625 + … + 126,631 25,306 + 25,307 + … + 25,345

Aliquot sequence: 1,013,020 → 1,114,364 → 835,780 → 1,160,060 → 1,498,036 → 1,384,844 → 1,047,124 → 938,426 → 474,214 → 342,698 → 189,820 → 208,844 → 160,756 → 120,574 → 71,450 → 61,540 → 76,052 — unresolved within range

Continued fraction of √n

√1,013,020 = [1006; (2, 22, 8, 2, 16, 3, 3, 2, 6, 2, 14, 55, 1, 5, 1, 1, 7, 4, 3, 1, 1, 4, 1, 1, …)]

Representations

In words: one million thirteen thousand twenty
Ordinal: 1013020th
Binary: 11110111010100011100
Octal: 3672434
Hexadecimal: 0xF751C
Base64: D3Uc
One's complement: 4,293,954,275 (32-bit)
Scientific notation: 1.01302 × 10⁶
As a duration: 1,013,020 s = 11 days, 17 hours, 23 minutes, 40 seconds

In other bases

ternary (3) 1220110121021

quaternary (4) 3313110130

quinary (5) 224404040

senary (6) 33413524

septenary (7) 11416261

nonary (9) 1813537

undecimal (11) 632108

duodecimal (12) 40a2a4

tridecimal (13) 296128

tetradecimal (14) 1c5268

pentadecimal (15) 15024a

As an angle

1,013,020° = 2,813 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆
Chinese: 一百零一萬三千零二十
Chinese (financial): 壹佰零壹萬參仟零貳拾

In other modern scripts

Eastern Arabic ١٠١٣٠٢٠ Devanagari १०१३०२० Bengali ১০১৩০২০ Tamil ௧௦௧௩௦௨௦ Thai ๑๐๑๓๐๒๐ Tibetan ༡༠༡༣༠༢༠ Khmer ១០១៣០២០ Lao ໑໐໑໓໐໒໐ Burmese ၁၀၁၃၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013020, here are decompositions:

11 + 1013009 = 1013020
17 + 1013003 = 1013020
23 + 1012997 = 1013020
53 + 1012967 = 1013020
89 + 1012931 = 1013020
101 + 1012919 = 1013020
191 + 1012829 = 1013020
251 + 1012769 = 1013020

Showing the first eight; more decompositions exist.

Hex color

#0F751C

RGB(15, 117, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.28.

Address: 0.15.117.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.28

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3020-10-01 (MMDYYYY (US, single-digit day))
3020-01-10 (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 1,013,020 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 US1,013,020 on Google Patents ↗ Look up on USPTO ↗