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13406496 = 253359389
BaseRepresentation
bin110011001001…
…000100100000
3221020010020220
4303021010200
511413001441
61155203040
7221644665
oct63110440
927203226
1013406496
117627554
1245a6480
132a1524c
141acda6c
15129c466
hexcc9120

13406496 has 48 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4444928.

The previous prime is 13406483. The next prime is 13406513. The reversal of 13406496 is 69460431.

It is a tau number, because it is divible by the number of its divisors (48).

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, 34270 + ... + 34658.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 213406496 is an apocalyptic number.

13406496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13406496 is an abundant number, since it is smaller than the sum of its proper divisors (21974304).

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

13406496 is a wasteful number, since it uses less digits than its factorization.

13406496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 13406496 is about 3661.4882220212. The cubic root of 13406496 is about 237.5591490720.

The spelling of 13406496 in words is "thirteen million, four hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359 389 718 778 1077 1167 1436 1556 2154 2334 2872 3112 4308 4668 5744 6224 8616 9336 11488 12448 17232 18672 34464 37344 139651 279302 418953 558604 837906 1117208 1675812 2234416 3351624 4468832 6703248 13406496