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23915920 = 245726101
BaseRepresentation
bin101101100111…
…0110110010000
31200000001110211
41123032312100
522110302140
62212333504
7410165500
oct133166620
950001424
1023915920
1112555426
128014294
134c54942
143267a00
1521762ea
hex16ced90

23915920 has 60 divisors (see below), whose sum is σ = 64693404. Its totient is φ = 8198400.

The previous prime is 23915897. The next prime is 23915921. The reversal of 23915920 is 2951932.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 12054784 = 3444^2 + 3472^2 .

It is not an unprimeable number, because it can be changed into a prime (23915921) 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 11 ways as a sum of consecutive naturals, for example, 870 + ... + 6970.

Almost surely, 223915920 is an apocalyptic number.

23915920 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 23915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32346702).

23915920 is an abundant number, since it is smaller than the sum of its proper divisors (40777484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23915920 is a wasteful number, since it uses less digits than its factorization.

23915920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 23915920 is about 4890.3905774488. The cubic root of 23915920 is about 288.1126745339.

The spelling of 23915920 in words is "twenty-three million, nine hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 6101 12202 24404 30505 42707 48808 61010 85414 97616 122020 170828 213535 244040 298949 341656 427070 488080 597898 683312 854140 1195796 1494745 1708280 2391592 2989490 3416560 4783184 5978980 11957960 23915920