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23981568 = 293131201
BaseRepresentation
bin101101101111…
…0111000000000
31200010101112020
41123132320000
522114402233
62214001440
7410561052
oct133367000
950111466
1023981568
111259a786
128046280
134c787a0
1432838d2
15218a9b3
hex16dee00

23981568 has 80 divisors (see below), whose sum is σ = 68860176. Its totient is φ = 7372800.

The previous prime is 23981563. The next prime is 23981621. The reversal of 23981568 is 86518932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23981563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19368 + ... + 20568.

Almost surely, 223981568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34430088).

23981568 is an abundant number, since it is smaller than the sum of its proper divisors (44878608).

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

23981568 is a wasteful number, since it uses less digits than its factorization.

23981568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1219 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 23981568 is about 4897.0979161132. The cubic root of 23981568 is about 288.3760519716.

The spelling of 23981568 in words is "twenty-three million, nine hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1201 1248 1536 1664 2402 2496 3328 3603 4804 4992 6656 7206 9608 9984 14412 15613 19216 19968 28824 31226 38432 46839 57648 62452 76864 93678 115296 124904 153728 187356 230592 249808 307456 374712 461184 499616 614912 749424 922368 999232 1498848 1844736 1998464 2997696 3996928 5995392 7993856 11990784 23981568