Live analysis

120,642

120,642 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.).

120,642 (one hundred twenty thousand six hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 20,107. Its proper divisors sum to 120,654, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D742.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number Smith Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,630 120,631 120,632 120,633 120,634 120,635 120,636 120,637 120,638 120,639 120,640 120,641 120,642 120,643 120,644 120,645 120,646 120,647 120,648 120,649 120,650 120,651 120,652 120,653 120,654

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 246,021
Square (n²): 14,554,492,164
Cube (n³): 1,755,883,043,649,288
Divisor count: 8
σ(n) — sum of divisors: 241,296
φ(n) — Euler's totient: 40,212
Sum of prime factors: 20,112

Primality

Prime factorization: 2 × 3 × 20107

Nearest primes: 120,641 (−1) · 120,647 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 20107 · 40214 · 60321 (half) · 120642

Aliquot sum (sum of proper divisors): 120,654

Factor pairs (a × b = 120,642)

1 × 120642

2 × 60321

3 × 40214

6 × 20107

First multiples

120,642 · 241,284 (double) · 361,926 · 482,568 · 603,210 · 723,852 · 844,494 · 965,136 · 1,085,778 · 1,206,420

Sums & aliquot sequence

As consecutive integers: 40,213 + 40,214 + 40,215 30,159 + 30,160 + 30,161 + 30,162 10,048 + 10,049 + … + 10,059

Aliquot sequence: 120,642 → 120,654 → 140,802 → 150,270 → 210,450 → 343,086 → 348,882 → 348,894 → 618,786 → 953,694 → 1,575,690 → 2,281,206 → 2,281,218 → 2,281,230 → 5,183,730 → 8,882,190 → 15,206,130 — unresolved within range

Continued fraction of √n

√120,642 = [347; (2, 1, 48, 1, 20, 14, 7, 1, 2, 1, 3, 5, 2, 9, 16, 1, 5, 6, 1, 1, 2, 1, 3, 1, …)]

Representations

In words: one hundred twenty thousand six hundred forty-two
Ordinal: 120642nd
Binary: 11101011101000010
Octal: 353502
Hexadecimal: 0x1D742
Base64: AddC
One's complement: 4,294,846,653 (32-bit)
Scientific notation: 1.20642 × 10⁵
As a duration: 120,642 s = 1 day, 9 hours, 30 minutes, 42 seconds

In other bases

ternary (3) 20010111020

quaternary (4) 131131002

quinary (5) 12330032

senary (6) 2330310

septenary (7) 1011504

nonary (9) 203436

undecimal (11) 82705

duodecimal (12) 59996

tridecimal (13) 42bb2

tetradecimal (14) 31d74

pentadecimal (15) 25b2c

As an angle

120,642° = 335 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρκχμβʹ
Mayan (base 20): 𝋯·𝋡·𝋬·𝋢
Chinese: 一十二萬零六百四十二
Chinese (financial): 壹拾貳萬零陸佰肆拾貳

In other modern scripts

Eastern Arabic ١٢٠٦٤٢ Devanagari १२०६४२ Bengali ১২০৬৪২ Tamil ௧௨௦௬௪௨ Thai ๑๒๐๖๔๒ Tibetan ༡༢༠༦༤༢ Khmer ១២០៦៤២ Lao ໑໒໐໖໔໒ Burmese ၁၂၀၆၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120642, here are decompositions:

19 + 120623 = 120642
23 + 120619 = 120642
73 + 120569 = 120642
79 + 120563 = 120642
103 + 120539 = 120642
131 + 120511 = 120642
139 + 120503 = 120642
211 + 120431 = 120642

Showing the first eight; more decompositions exist.

Unicode codepoint

𝝂

Mathematical Bold Italic Small Nu

U+1D742

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9D 82 (4 bytes).

Lookup U+1D742 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D742

RGB(1, 215, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.66.

Address: 0.1.215.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.215.66

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 120,642 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US120,642 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120642 first appears in π at position 97,597 of the decimal expansion (the 97,597ordinal-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 120642 on Pi Search ↗