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120,520

120,520 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.).

120,520 (one hundred twenty thousand five hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 23 × 131. Its proper divisors sum to 164,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6C8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
25,021
Square (n²)
14,525,070,400
Cube (n³)
1,750,561,484,608,000
Divisor count
32
σ(n) — sum of divisors
285,120
φ(n) — Euler's totient
45,760
Sum of prime factors
165

Primality

Prime factorization: 2 3 × 5 × 23 × 131

Nearest primes: 120,511 (−9) · 120,539 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 23 · 40 · 46 · 92 · 115 · 131 · 184 · 230 · 262 · 460 · 524 · 655 · 920 · 1048 · 1310 · 2620 · 3013 · 5240 · 6026 · 12052 · 15065 · 24104 · 30130 · 60260 (half) · 120520
Aliquot sum (sum of proper divisors): 164,600
Factor pairs (a × b = 120,520)
1 × 120520
2 × 60260
4 × 30130
5 × 24104
8 × 15065
10 × 12052
20 × 6026
23 × 5240
40 × 3013
46 × 2620
92 × 1310
115 × 1048
131 × 920
184 × 655
230 × 524
262 × 460
First multiples
120,520 · 241,040 (double) · 361,560 · 482,080 · 602,600 · 723,120 · 843,640 · 964,160 · 1,084,680 · 1,205,200

Sums & aliquot sequence

As consecutive integers: 24,102 + 24,103 + 24,104 + 24,105 + 24,106 7,525 + 7,526 + … + 7,540 5,229 + 5,230 + … + 5,251 1,467 + 1,468 + … + 1,546
Aliquot sequence: 120,520 164,600 218,560 302,648 264,832 263,018 187,894 134,234 72,154 38,726 23,902 17,138 13,102 6,554 3,706 2,234 1,120 — unresolved within range

Continued fraction of √n

√120,520 = [347; (6, 3, 1, 16, 5, 1, 2, 1, 1, 1, 8, 6, 2, 76, 1, 2, 5, 1, 11, 1, 1, 3, 1, 13, …)]

Representations

In words
one hundred twenty thousand five hundred twenty
Ordinal
120520th
Binary
11101011011001000
Octal
353310
Hexadecimal
0x1D6C8
Base64
AdbI
One's complement
4,294,846,775 (32-bit)
Scientific notation
1.2052 × 10⁵
As a duration
120,520 s = 1 day, 9 hours, 28 minutes, 40 seconds
In other bases
ternary (3) 20010022201
quaternary (4) 131123020
quinary (5) 12324040
senary (6) 2325544
septenary (7) 1011241
nonary (9) 203281
undecimal (11) 82604
duodecimal (12) 598b4
tridecimal (13) 42b1a
tetradecimal (14) 31cc8
pentadecimal (15) 25a9a

As an angle

120,520° = 334 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκφκʹ
Mayan (base 20)
𝋯·𝋡·𝋦·𝋠
Chinese
一十二萬零五百二十
Chinese (financial)
壹拾貳萬零伍佰貳拾
In other modern scripts
Eastern Arabic ١٢٠٥٢٠ Devanagari १२०५२० Bengali ১২০৫২০ Tamil ௧௨௦௫௨௦ Thai ๑๒๐๕๒๐ Tibetan ༡༢༠༥༢༠ Khmer ១២០៥២០ Lao ໑໒໐໕໒໐ Burmese ၁၂၀၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120520, here are decompositions:

  • 17 + 120503 = 120520
  • 47 + 120473 = 120520
  • 89 + 120431 = 120520
  • 107 + 120413 = 120520
  • 137 + 120383 = 120520
  • 149 + 120371 = 120520
  • 227 + 120293 = 120520
  • 311 + 120209 = 120520

Showing the first eight; more decompositions exist.

Unicode codepoint
𝛈
Mathematical Bold Small Eta
U+1D6C8
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9B 88 (4 bytes).

Hex color
#01D6C8
RGB(1, 214, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.200.

Address
0.1.214.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.200

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 120,520 and was likely granted around 1871.

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

Position in π

The digit sequence 120520 first appears in π at position 952,946 of the decimal expansion (the 952,946ordinal-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.

Related reading