Base | Representation |
---|---|
bin | 101100001010… |
… | …0001110100000 |
3 | 1121120012220201 |
4 | 1120110032200 |
5 | 21411322040 |
6 | 2144114544 |
7 | 400533100 |
oct | 130241640 |
9 | 47505821 |
10 | 23151520 |
11 | 12083097 |
12 | 7905a54 |
13 | 4a47a32 |
14 | 3109200 |
15 | 2074a9a |
hex | 16143a0 |
23151520 has 72 divisors (see below), whose sum is σ = 63646884. Its totient is φ = 7934976.
The previous prime is 23151517. The next prime is 23151521. The reversal of 23151520 is 2515132.
It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 226576 = 4788^2 + 476^2 .
It is not an unprimeable number, because it can be changed into a prime (23151521) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6364 + ... + 9316.
Almost surely, 223151520 is an apocalyptic number.
23151520 is a gapful number since it is divisible by the number (20) 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 23151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31823442).
23151520 is an abundant number, since it is smaller than the sum of its proper divisors (40495364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23151520 is a wasteful number, since it uses less digits than its factorization.
23151520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2982 (or 2967 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 19.
The square root of 23151520 is about 4811.6026436105. The cubic root of 23151520 is about 285.0098283263.
Adding to 23151520 its reverse (2515132), we get a palindrome (25666652).
The spelling of 23151520 in words is "twenty-three million, one hundred fifty-one thousand, five hundred twenty".
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