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9713664 = 211321731
BaseRepresentation
bin100101000011…
…100000000000
3200021111122100
4211003200000
54441314124
6544110400
7145364502
oct45034000
920244570
109713664
115535024
123305400
13202143c
14140bd72
15cbd1c9
hex943800

9713664 has 144 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 2949120.

The previous prime is 9713653. The next prime is 9713689. The reversal of 9713664 is 4663179.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313329 + ... + 313359.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 29713664 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 9713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

9713664 is an abundant number, since it is smaller than the sum of its proper divisors (20949696).

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

9713664 is a wasteful number, since it uses less digits than its factorization.

9713664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 9713664 is about 3116.6751515036. The cubic root of 9713664 is about 213.3672168403.

The spelling of 9713664 in words is "nine million, seven hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 64 68 72 93 96 102 124 128 136 144 153 186 192 204 248 256 272 279 288 306 372 384 408 496 512 527 544 558 576 612 744 768 816 992 1024 1054 1088 1116 1152 1224 1488 1536 1581 1632 1984 2048 2108 2176 2232 2304 2448 2976 3072 3162 3264 3968 4216 4352 4464 4608 4743 4896 5952 6144 6324 6528 7936 8432 8704 8928 9216 9486 9792 11904 12648 13056 15872 16864 17408 17856 18432 18972 19584 23808 25296 26112 31744 33728 34816 35712 37944 39168 47616 50592 52224 63488 67456 71424 75888 78336 95232 101184 104448 134912 142848 151776 156672 190464 202368 269824 285696 303552 313344 404736 539648 571392 607104 809472 1079296 1214208 1618944 2428416 3237888 4856832 9713664