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23725968 = 2437241293
BaseRepresentation
bin101101010000…
…0011110010000
31122122101220120
41122200132100
522033212333
62204310240
7405444630
oct132403620
948571816
1023725968
1112435742
127b42380
134bb9346
1432186c0
152139db3
hex16a0790

23725968 has 80 divisors (see below), whose sum is σ = 70578816. Its totient is φ = 6727680.

The previous prime is 23725939. The next prime is 23725969. The reversal of 23725968 is 86952732.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23725969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80830 + ... + 81122.

Almost surely, 223725968 is an apocalyptic number.

23725968 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 23725968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35289408).

23725968 is an abundant number, since it is smaller than the sum of its proper divisors (46852848).

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

23725968 is a wasteful number, since it uses less digits than its factorization.

23725968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 23725968 is about 4870.9309171862. The cubic root of 23725968 is about 287.3478685998.

The spelling of 23725968 in words is "twenty-three million, seven hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 293 336 482 586 723 879 964 1172 1446 1687 1758 1928 2051 2344 2892 3374 3516 3856 4102 4688 5061 5784 6153 6748 7032 8204 10122 11568 12306 13496 14064 16408 20244 24612 26992 32816 40488 49224 70613 80976 98448 141226 211839 282452 423678 494291 564904 847356 988582 1129808 1482873 1694712 1977164 2965746 3389424 3954328 5931492 7908656 11862984 23725968