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13430816 = 257173527
BaseRepresentation
bin110011001111…
…000000100000
3221021100121122
4303033000200
511414241231
61155511412
7222105620
oct63170040
927240548
1013430816
117643853
1245b8568
132a23339
141ad8880
1512a477b
hexccf020

13430816 has 48 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 5415936.

The previous prime is 13430803. The next prime is 13430831. The reversal of 13430816 is 61803431.

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, 2045 + ... + 5571.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 213430816 is an apocalyptic number.

13430816 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 13430816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

13430816 is an abundant number, since it is smaller than the sum of its proper divisors (18575200).

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

13430816 is a wasteful number, since it uses less digits than its factorization.

13430816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13430816 is about 3664.8077712207. The cubic root of 13430816 is about 237.7027100370.

The spelling of 13430816 in words is "thirteen million, four hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3527 3808 7054 14108 24689 28216 49378 56432 59959 98756 112864 119918 197512 239836 395024 419713 479672 790048 839426 959344 1678852 1918688 3357704 6715408 13430816