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23973664 = 251113331
BaseRepresentation
bin101101101110…
…0111100100000
31200002222200111
41123130330200
522114124124
62213501104
7410526031
oct133347440
950088614
1023973664
1112594850
128041794
134c75000
143280a88
152188494
hex16dcf20

23973664 has 96 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 9734400.

The previous prime is 23973641. The next prime is 23973679. The reversal of 23973664 is 46637932.

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, 773329 + ... + 773359.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 223973664 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 23973664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

23973664 is an abundant number, since it is smaller than the sum of its proper divisors (33603296).

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

23973664 is a wasteful number, since it uses less digits than its factorization.

23973664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its digits is 163296, while the sum is 40.

The square root of 23973664 is about 4896.2908410347. The cubic root of 23973664 is about 288.3443668767.

The spelling of 23973664 in words is "twenty-three million, nine hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 88 104 124 143 169 176 208 248 286 338 341 352 403 416 496 572 676 682 806 992 1144 1352 1364 1612 1859 2197 2288 2704 2728 3224 3718 4394 4433 4576 5239 5408 5456 6448 7436 8788 8866 10478 10912 12896 14872 17576 17732 20956 24167 29744 35152 35464 41912 48334 57629 59488 68107 70304 70928 83824 96668 115258 136214 141856 167648 193336 230516 272428 386672 461032 544856 749177 773344 922064 1089712 1498354 1844128 2179424 2996708 5993416 11986832 23973664