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120,460

120,460 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.).

120,460 (one hundred twenty thousand four hundred sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 19 × 317. Its proper divisors sum to 146,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D68C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
64,021
Square (n²)
14,510,611,600
Cube (n³)
1,747,948,273,336,000
Divisor count
24
σ(n) — sum of divisors
267,120
φ(n) — Euler's totient
45,504
Sum of prime factors
345

Primality

Prime factorization: 2 2 × 5 × 19 × 317

Nearest primes: 120,431 (−29) · 120,473 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 19 · 20 · 38 · 76 · 95 · 190 · 317 · 380 · 634 · 1268 · 1585 · 3170 · 6023 · 6340 · 12046 · 24092 · 30115 · 60230 (half) · 120460
Aliquot sum (sum of proper divisors): 146,660
Factor pairs (a × b = 120,460)
1 × 120460
2 × 60230
4 × 30115
5 × 24092
10 × 12046
19 × 6340
20 × 6023
38 × 3170
76 × 1585
95 × 1268
190 × 634
317 × 380
First multiples
120,460 · 240,920 (double) · 361,380 · 481,840 · 602,300 · 722,760 · 843,220 · 963,680 · 1,084,140 · 1,204,600

Sums & aliquot sequence

As consecutive integers: 24,090 + 24,091 + 24,092 + 24,093 + 24,094 15,054 + 15,055 + … + 15,061 6,331 + 6,332 + … + 6,349 2,992 + 2,993 + … + 3,031
Aliquot sequence: 120,460 146,660 161,368 154,712 140,128 147,152 155,284 116,470 104,570 83,674 56,294 40,234 20,120 25,240 31,640 50,440 73,040 — unresolved within range

Continued fraction of √n

√120,460 = [347; (13, 1, 1, 1, 1, 3, 1, 2, 2, 3, 8, 2, 45, 1, 4, 7, 1, 28, 22, 2, 1, 3, 1, 76, …)]

Representations

In words
one hundred twenty thousand four hundred sixty
Ordinal
120460th
Binary
11101011010001100
Octal
353214
Hexadecimal
0x1D68C
Base64
AdaM
One's complement
4,294,846,835 (32-bit)
Scientific notation
1.2046 × 10⁵
As a duration
120,460 s = 1 day, 9 hours, 27 minutes, 40 seconds
In other bases
ternary (3) 20010020111
quaternary (4) 131122030
quinary (5) 12323320
senary (6) 2325404
septenary (7) 1011124
nonary (9) 203214
undecimal (11) 8255a
duodecimal (12) 59864
tridecimal (13) 42aa2
tetradecimal (14) 31c84
pentadecimal (15) 25a5a

As an angle

120,460° = 334 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκυξʹ
Mayan (base 20)
𝋯·𝋡·𝋣·𝋠
Chinese
一十二萬零四百六十
Chinese (financial)
壹拾貳萬零肆佰陸拾
In other modern scripts
Eastern Arabic ١٢٠٤٦٠ Devanagari १२०४६० Bengali ১২০৪৬০ Tamil ௧௨௦௪௬௦ Thai ๑๒๐๔๖๐ Tibetan ༡༢༠༤༦༠ Khmer ១២០៤៦០ Lao ໑໒໐໔໖໐ Burmese ၁၂၀၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120460, here are decompositions:

  • 29 + 120431 = 120460
  • 47 + 120413 = 120460
  • 59 + 120401 = 120460
  • 89 + 120371 = 120460
  • 167 + 120293 = 120460
  • 227 + 120233 = 120460
  • 251 + 120209 = 120460
  • 293 + 120167 = 120460

Showing the first eight; more decompositions exist.

Unicode codepoint
𝚌
Mathematical Monospace Small C
U+1D68C
Lowercase letter (Ll)

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

Hex color
#01D68C
RGB(1, 214, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.140.

Address
0.1.214.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.140

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 120,460 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 120460 first appears in π at position 253,791 of the decimal expansion (the 253,791ordinal-suffix:st 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