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13476072 = 2333159307
BaseRepresentation
bin110011011010…
…000011101000
3221100122200210
4303122003220
511422213242
61200501120
7222354561
oct63320350
927318623
1013476072
117674855
12461a7a0
132a3ab0c
141b0b168
1512b2d9c
hexcda0e8

13476072 has 64 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 4259520.

The previous prime is 13476049. The next prime is 13476083. The reversal of 13476072 is 27067431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43743 + ... + 44049.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 213476072 is an apocalyptic number.

13476072 is a gapful number since it is divisible by the number (12) 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 13476072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740800).

13476072 is an abundant number, since it is smaller than the sum of its proper divisors (22005528).

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

13476072 is a wasteful number, since it uses less digits than its factorization.

13476072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 13476072 is about 3670.9769816767. The cubic root of 13476072 is about 237.9693955893.

The spelling of 13476072 in words is "thirteen million, four hundred seventy-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 59 62 93 118 124 177 186 236 248 307 354 372 472 614 708 744 921 1228 1416 1829 1842 2456 3658 3684 5487 7316 7368 9517 10974 14632 18113 19034 21948 28551 36226 38068 43896 54339 57102 72452 76136 108678 114204 144904 217356 228408 434712 561503 1123006 1684509 2246012 3369018 4492024 6738036 13476072