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23718968 = 23713311051
BaseRepresentation
bin101101001111…
…0110000111000
31122122001022022
41122132300320
522033001333
62204214012
7405415340
oct132366070
948561268
1023718968
1112430459
127b3a308
134bb60c0
143215d20
152137c98
hex169ec38

23718968 has 64 divisors (see below), whose sum is σ = 56555520. Its totient is φ = 9072000.

The previous prime is 23718917. The next prime is 23718971. The reversal of 23718968 is 86981732.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22043 + ... + 23093.

It is an arithmetic number, because the mean of its divisors is an integer number (883680).

Almost surely, 223718968 is an apocalyptic number.

23718968 is a gapful number since it is divisible by the number (28) 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 23718968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28277760).

23718968 is an abundant number, since it is smaller than the sum of its proper divisors (32836552).

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

23718968 is a wasteful number, since it uses less digits than its factorization.

23718968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1104 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 23718968 is about 4870.2123157004. The cubic root of 23718968 is about 287.3196065576.

The spelling of 23718968 in words is "twenty-three million, seven hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1051 1612 1736 2102 2821 3224 4204 5642 7357 8408 11284 13663 14714 22568 27326 29428 32581 54652 58856 65162 95641 109304 130324 191282 228067 260648 382564 423553 456134 765128 847106 912268 1694212 1824536 2964871 3388424 5929742 11859484 23718968