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14897664 = 29325361
BaseRepresentation
bin111000110101…
…001000000000
31001000212202100
4320311020000
512303211124
61251150400
7240425265
oct70651000
931025670
1014897664
118455921
124ba5400
133117bb2
141d9b26c
1514941c9
hexe35200

14897664 has 120 divisors (see below), whose sum is σ = 44525052. Its totient is φ = 4792320.

The previous prime is 14897657. The next prime is 14897669. The reversal of 14897664 is 46679841.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 518400 = 3792^2 + 720^2 .

It is not an unprimeable number, because it can be changed into a prime (14897669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244194 + ... + 244254.

Almost surely, 214897664 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 14897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22262526).

14897664 is an abundant number, since it is smaller than the sum of its proper divisors (29627388).

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

14897664 is an equidigital number, since it uses as much as digits as its factorization.

14897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 14897664 is about 3859.7492146511. The cubic root of 14897664 is about 246.0590776216.

The spelling of 14897664 in words is "fourteen million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 61 64 72 96 106 122 128 144 159 183 192 212 244 256 288 318 366 384 424 477 488 512 549 576 636 732 768 848 954 976 1098 1152 1272 1464 1536 1696 1908 1952 2196 2304 2544 2928 3233 3392 3816 3904 4392 4608 5088 5856 6466 6784 7632 7808 8784 9699 10176 11712 12932 13568 15264 15616 17568 19398 20352 23424 25864 27136 29097 30528 31232 35136 38796 40704 46848 51728 58194 61056 70272 77592 81408 93696 103456 116388 122112 140544 155184 206912 232776 244224 281088 310368 413824 465552 620736 827648 931104 1241472 1655296 1862208 2482944 3724416 4965888 7448832 14897664