Base | Representation |
---|---|
bin | 101011111100… |
… | …0010011001001 |
3 | 1121100102000000 |
4 | 1113320103021 |
5 | 21344142004 |
6 | 2141433213 |
7 | 366545433 |
oct | 127702311 |
9 | 47312000 |
10 | 23037129 |
11 | 12005155 |
12 | 786b809 |
13 | 4a0794b |
14 | 30b9653 |
15 | 2050c39 |
hex | 15f84c9 |
23037129 has 14 divisors (see below), whose sum is σ = 34540986. Its totient is φ = 15357600.
The previous prime is 23037073. The next prime is 23037143. The reversal of 23037129 is 92173032.
It can be written as a sum of positive squares in only one way, i.e., 22581504 + 455625 = 4752^2 + 675^2 .
It is not a de Polignac number, because 23037129 - 29 = 23036617 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (23037169) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15072 + ... + 16529.
Almost surely, 223037129 is an apocalyptic number.
It is an amenable number.
23037129 is a deficient number, since it is larger than the sum of its proper divisors (11503857).
23037129 is an frugal number, since it uses more digits than its factorization.
23037129 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31619 (or 31604 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 27.
The square root of 23037129 is about 4799.7009281829. The cubic root of 23037129 is about 284.5396446082.
It can be divided in two parts, 230371 and 29, that added together give a square (230400 = 4802).
The spelling of 23037129 in words is "twenty-three million, thirty-seven thousand, one hundred twenty-nine".
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