Base | Representation |
---|---|
bin | 101100000011… |
… | …1101011100100 |
3 | 1121110121102110 |
4 | 1120013223210 |
5 | 21403201012 |
6 | 2143041020 |
7 | 400230216 |
oct | 130075344 |
9 | 47417373 |
10 | 23100132 |
11 | 12048520 |
12 | 78a0170 |
13 | 4a2a523 |
14 | 30d45b6 |
15 | 206473c |
hex | 1607ae4 |
23100132 has 48 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 6944160.
The previous prime is 23100109. The next prime is 23100149.
It is a happy number.
23100132 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17719 + ... + 18977.
It is an arithmetic number, because the mean of its divisors is an integer number (1234800).
Almost surely, 223100132 is an apocalyptic number.
23100132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).
23100132 is an abundant number, since it is smaller than the sum of its proper divisors (36170268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23100132 is a wasteful number, since it uses less digits than its factorization.
23100132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1416 (or 1414 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 23100132 is about 4806.2596683908. The cubic root of 23100132 is about 284.7987992048.
It can be divided in two parts, 23100 and 132, that added together give a palindrome (23232).
The spelling of 23100132 in words is "twenty-three million, one hundred thousand, one hundred thirty-two".
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