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23242920 = 2335296679
BaseRepresentation
bin101100010101…
…0100010101000
31121201212021220
41120222202220
521422233140
62150102040
7401363421
oct130524250
947655256
1023242920
1112135828
12794a920
134a7a50c
143130648
152091bd0
hex162a8a8

23242920 has 64 divisors (see below), whose sum is σ = 72144000. Its totient is φ = 5983488.

The previous prime is 23242907. The next prime is 23242931. The reversal of 23242920 is 2924232.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 141 + ... + 6819.

It is an arithmetic number, because the mean of its divisors is an integer number (1127250).

Almost surely, 223242920 is an apocalyptic number.

23242920 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 23242920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072000).

23242920 is an abundant number, since it is smaller than the sum of its proper divisors (48901080).

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

23242920 is a wasteful number, since it uses less digits than its factorization.

23242920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23242920 is about 4821.0911627971. The cubic root of 23242920 is about 285.3843997361.

The spelling of 23242920 in words is "twenty-three million, two hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 6679 13358 20037 26716 33395 40074 53432 66790 80148 100185 133580 160296 193691 200370 267160 387382 400740 581073 774764 801480 968455 1162146 1549528 1936910 2324292 2905365 3873820 4648584 5810730 7747640 11621460 23242920