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13796736 = 273193161
BaseRepresentation
bin110100101000…
…010110000000
3221221221120020
4310220112000
512012443421
61211413440
7225161502
oct64502600
927857506
1013796736
117873768
124754280
132b20a65
141b91d72
151327dc6
hexd28580

13796736 has 128 divisors (see below), whose sum is σ = 40473600. Its totient is φ = 4147200.

The previous prime is 13796683. The next prime is 13796743. The reversal of 13796736 is 63769731.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226146 + ... + 226206.

It is an arithmetic number, because the mean of its divisors is an integer number (316200).

Almost surely, 213796736 is an apocalyptic number.

13796736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13796736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236800).

13796736 is an abundant number, since it is smaller than the sum of its proper divisors (26676864).

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

13796736 is a wasteful number, since it uses less digits than its factorization.

13796736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 13796736 is about 3714.3957785890. The cubic root of 13796736 is about 239.8421183841.

The spelling of 13796736 in words is "thirteen million, seven hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 61 62 64 76 93 96 114 122 124 128 152 183 186 192 228 244 248 304 366 372 384 456 488 496 589 608 732 744 912 976 992 1159 1178 1216 1464 1488 1767 1824 1891 1952 1984 2318 2356 2432 2928 2976 3477 3534 3648 3782 3904 3968 4636 4712 5673 5856 5952 6954 7068 7296 7564 7808 9272 9424 11346 11712 11904 13908 14136 15128 18544 18848 22692 23424 27816 28272 30256 35929 37088 37696 45384 55632 56544 60512 71858 74176 75392 90768 107787 111264 113088 121024 143716 148352 181536 215574 222528 226176 242048 287432 363072 431148 445056 574864 726144 862296 1149728 1724592 2299456 3449184 4598912 6898368 13796736