Search a number
-
+
13979264 = 271331271
BaseRepresentation
bin110101010100…
…111010000000
3222022012221112
4311110322000
512034314024
61215342452
7226551605
oct65247200
928265845
1013979264
117988912
124821a28
132b85b70
141bdc6ac
15136200e
hexd54e80

13979264 has 64 divisors (see below), whose sum is σ = 31073280. Its totient is φ = 6220800.

The previous prime is 13979249. The next prime is 13979279. The reversal of 13979264 is 46297931.

It is an interprime number because it is at equal distance from previous prime (13979249) and next prime (13979279).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51449 + ... + 51719.

It is an arithmetic number, because the mean of its divisors is an integer number (485520).

Almost surely, 213979264 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 13979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536640).

13979264 is an abundant number, since it is smaller than the sum of its proper divisors (17094016).

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

13979264 is a wasteful number, since it uses less digits than its factorization.

13979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 13979264 is about 3738.8853954086. The cubic root of 13979264 is about 240.8951754544.

The spelling of 13979264 in words is "thirteen million, nine hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 271 403 416 496 542 806 832 992 1084 1612 1664 1984 2168 3224 3523 3968 4336 6448 7046 8401 8672 12896 14092 16802 17344 25792 28184 33604 34688 51584 56368 67208 109213 112736 134416 218426 225472 268832 436852 450944 537664 873704 1075328 1747408 3494816 6989632 13979264