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23981664 = 2537127281
BaseRepresentation
bin101101101111…
…0111001100000
31200010101122210
41123132321200
522114403124
62214002120
7410561250
oct133367140
950111583
1023981664
111259a863
128046340
134c78845
143283960
15218aa29
hex16dee60

23981664 has 96 divisors (see below), whose sum is σ = 72769536. Its totient is φ = 6773760.

The previous prime is 23981647. The next prime is 23981687. The reversal of 23981664 is 46618932.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 85204 + ... + 85484.

It is an arithmetic number, because the mean of its divisors is an integer number (758016).

Almost surely, 223981664 is an apocalyptic number.

23981664 is a gapful number since it is divisible by the number (24) 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 23981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36384768).

23981664 is an abundant number, since it is smaller than the sum of its proper divisors (48787872).

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

23981664 is a wasteful number, since it uses less digits than its factorization.

23981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 23981664 is about 4897.1077178269. The cubic root of 23981664 is about 288.3764367680.

The spelling of 23981664 in words is "twenty-three million, nine hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 281 336 381 508 562 672 762 843 889 1016 1124 1524 1686 1778 1967 2032 2248 2667 3048 3372 3556 3934 4064 4496 5334 5901 6096 6744 7112 7868 8992 10668 11802 12192 13488 14224 15736 21336 23604 26976 28448 31472 35687 42672 47208 62944 71374 85344 94416 107061 142748 188832 214122 249809 285496 428244 499618 570992 749427 856488 999236 1141984 1498854 1712976 1998472 2997708 3425952 3996944 5995416 7993888 11990832 23981664