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13336704 = 273317227
BaseRepresentation
bin110010111000…
…000010000000
3221002120112000
4302320002000
511403233304
61153504000
7221234343
oct62700200
927076460
1013336704
11758a077
124572000
1329bc554
141ab245a
151286939
hexcb8080

13336704 has 128 divisors (see below), whose sum is σ = 41860800. Its totient is φ = 4165632.

The previous prime is 13336691. The next prime is 13336709. The reversal of 13336704 is 40763331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13336709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58639 + ... + 58865.

Almost surely, 213336704 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 13336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400).

13336704 is an abundant number, since it is smaller than the sum of its proper divisors (28524096).

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

13336704 is a wasteful number, since it uses less digits than its factorization.

13336704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 13336704 is about 3651.9452350768. The cubic root of 13336704 is about 237.1462004519.

The spelling of 13336704 in words is "thirteen million, three hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 227 272 288 306 384 408 432 454 459 544 576 612 681 816 864 908 918 1088 1152 1224 1362 1632 1728 1816 1836 2043 2176 2448 2724 3264 3456 3632 3672 3859 4086 4896 5448 6129 6528 7264 7344 7718 8172 9792 10896 11577 12258 14528 14688 15436 16344 19584 21792 23154 24516 29056 29376 30872 32688 34731 43584 46308 49032 58752 61744 65376 69462 87168 92616 98064 104193 123488 130752 138924 185232 196128 208386 246976 261504 277848 370464 392256 416772 493952 555696 740928 784512 833544 1111392 1481856 1667088 2222784 3334176 4445568 6668352 13336704