Live analysis

1,007,020

1,007,020 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.).

1,007,020 (one million seven thousand twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 7,193. Its proper divisors sum to 1,410,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DAC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,008 1,007,009 1,007,010 1,007,011 1,007,012 1,007,013 1,007,014 1,007,015 1,007,016 1,007,017 1,007,018 1,007,019 1,007,020 1,007,021 1,007,022 1,007,023 1,007,024 1,007,025 1,007,026 1,007,027 1,007,028 1,007,029 1,007,030 1,007,031 1,007,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 207,001
Square (n²): 1,014,089,280,400
Cube (n³): 1,021,208,187,148,408,000
Divisor count: 24
σ(n) — sum of divisors: 2,417,184
φ(n) — Euler's totient: 345,216
Sum of prime factors: 7,209

Primality

Prime factorization: 2 ² × 5 × 7 × 7193

Nearest primes: 1,006,991 (−29) · 1,007,021 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 140 · 7193 · 14386 · 28772 · 35965 · 50351 · 71930 · 100702 · 143860 · 201404 · 251755 · 503510 (half) · 1007020

Aliquot sum (sum of proper divisors): 1,410,164

Factor pairs (a × b = 1,007,020)

1 × 1007020

2 × 503510

4 × 251755

5 × 201404

7 × 143860

10 × 100702

14 × 71930

20 × 50351

28 × 35965

35 × 28772

70 × 14386

140 × 7193

First multiples

1,007,020 · 2,014,040 (double) · 3,021,060 · 4,028,080 · 5,035,100 · 6,042,120 · 7,049,140 · 8,056,160 · 9,063,180 · 10,070,200

Sums & aliquot sequence

As consecutive integers: 201,402 + 201,403 + 201,404 + 201,405 + 201,406 143,857 + 143,858 + … + 143,863 125,874 + 125,875 + … + 125,881 28,755 + 28,756 + … + 28,789

Aliquot sequence: 1,007,020 → 1,410,164 → 1,410,220 → 2,037,140 → 2,852,332 → 2,852,388 → 6,558,972 → 11,111,940 → 27,413,820 → 67,625,124 → 112,708,764 → 212,895,060 → 468,370,476 → 884,700,516 → 1,533,854,364 → 2,561,410,404 → 5,027,955,996 — unresolved within range

Continued fraction of √n

√1,007,020 = [1003; (1, 1, 64, 4, 7, 1, 1, 1, 1, 1, 3, 1, 18, 1, 1, 16, 1, 3, 1, 2, 1, 3, 1, 1, …)]

Representations

In words: one million seven thousand twenty
Ordinal: 1007020th
Binary: 11110101110110101100
Octal: 3656654
Hexadecimal: 0xF5DAC
Base64: D12s
One's complement: 4,293,960,275 (32-bit)
Scientific notation: 1.00702 × 10⁶
As a duration: 1,007,020 s = 11 days, 15 hours, 43 minutes, 40 seconds

In other bases

ternary (3) 1220011101001

quaternary (4) 3311312230

quinary (5) 224211040

senary (6) 33330044

septenary (7) 11362630

nonary (9) 1804331

undecimal (11) 628653

duodecimal (12) 406924

tridecimal (13) 293491

tetradecimal (14) 1c2dc0

pentadecimal (15) 14d59a

As an angle

1,007,020° = 2,797 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Chinese: 一百萬七千零二十
Chinese (financial): 壹佰萬柒仟零貳拾

In other modern scripts

Eastern Arabic ١٠٠٧٠٢٠ Devanagari १००७०२० Bengali ১০০৭০২০ Tamil ௧௦௦௭௦௨௦ Thai ๑๐๐๗๐๒๐ Tibetan ༡༠༠༧༠༢༠ Khmer ១០០៧០២០ Lao ໑໐໐໗໐໒໐ Burmese ၁၀၀၇၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007020, here are decompositions:

29 + 1006991 = 1007020
41 + 1006979 = 1007020
71 + 1006949 = 1007020
83 + 1006937 = 1007020
137 + 1006883 = 1007020
167 + 1006853 = 1007020
173 + 1006847 = 1007020
239 + 1006781 = 1007020

Showing the first eight; more decompositions exist.

Hex color

#0F5DAC

RGB(15, 93, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.172.

Address: 0.15.93.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.172

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

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 1,007,020 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 US1,007,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1007020 first appears in π at position 580,077 of the decimal expansion (the 580,077ordinal-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 1007020 on Pi Search ↗