135,072
135,072 is a composite number, even.
135,072 (one hundred thirty-five thousand seventy-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 7 × 67. Its proper divisors sum to 310,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FA0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 270,531
- Recamán's sequence
- a(36,376) = 135,072
- Square (n²)
- 18,244,445,184
- Cube (n³)
- 2,464,313,699,893,248
- Divisor count
- 72
- σ(n) — sum of divisors
- 445,536
- φ(n) — Euler's totient
- 38,016
- Sum of prime factors
- 90
Primality
Prime factorization: 2 5 × 3 2 × 7 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,072 = [367; (1, 1, 11, 5, 1, 80, 1, 5, 11, 1, 1, 734)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand seventy-two
- Ordinal
- 135072nd
- Binary
- 100000111110100000
- Octal
- 407640
- Hexadecimal
- 0x20FA0
- Base64
- Ag+g
- One's complement
- 4,294,832,223 (32-bit)
- Scientific notation
- 1.35072 × 10⁵
- As a duration
- 135,072 s = 1 day, 13 hours, 31 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλεοβʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋭·𝋬
- Chinese
- 一十三萬五千零七十二
- Chinese (financial)
- 壹拾參萬伍仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135072, here are decompositions:
- 13 + 135059 = 135072
- 23 + 135049 = 135072
- 29 + 135043 = 135072
- 43 + 135029 = 135072
- 53 + 135019 = 135072
- 73 + 134999 = 135072
- 83 + 134989 = 135072
- 149 + 134923 = 135072
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 BE A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.160.
- Address
- 0.2.15.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.15.160
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 135,072 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 135072 first appears in π at position 782,635 of the decimal expansion (the 782,635ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.