137,120
137,120 is a composite number, even.
137,120 (one hundred thirty-seven thousand one hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 857. Its proper divisors sum to 187,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 21,731
- Square (n²)
- 18,801,894,400
- Cube (n³)
- 2,578,115,760,128,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 324,324
- φ(n) — Euler's totient
- 54,784
- Sum of prime factors
- 872
Primality
Prime factorization: 2 5 × 5 × 857
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,120 = [370; (3, 2, 1, 2, 1, 5, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 23, 1, 1, 1, 1, 1, 5, 1, …)]
Representations
- In words
- one hundred thirty-seven thousand one hundred twenty
- Ordinal
- 137120th
- Binary
- 100001011110100000
- Octal
- 413640
- Hexadecimal
- 0x217A0
- Base64
- Aheg
- One's complement
- 4,294,830,175 (32-bit)
- Scientific notation
- 1.3712 × 10⁵
- As a duration
- 137,120 s = 1 day, 14 hours, 5 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλζρκʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋰·𝋠
- Chinese
- 一十三萬七千一百二十
- Chinese (financial)
- 壹拾參萬柒仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137120, here are decompositions:
- 3 + 137117 = 137120
- 31 + 137089 = 137120
- 43 + 137077 = 137120
- 127 + 136993 = 137120
- 157 + 136963 = 137120
- 223 + 136897 = 137120
- 241 + 136879 = 137120
- 271 + 136849 = 137120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9E A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.160.
- Address
- 0.2.23.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.160
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 137,120 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 137120 first appears in π at position 738,001 of the decimal expansion (the 738,001ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.