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13398912 = 27333877
BaseRepresentation
bin110011000111…
…001110000000
3221012201212000
4303013032000
511412231122
61155104000
7221613612
oct63071600
927181760
1013398912
11762188a
1245a2000
132a11967
141acadb2
15129a0ac
hexcc7380

13398912 has 64 divisors (see below), whose sum is σ = 39555600. Its totient is φ = 4465152.

The previous prime is 13398893. The next prime is 13398919. The reversal of 13398912 is 21989331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13398919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1518 + ... + 5394.

Almost surely, 213398912 is an apocalyptic number.

13398912 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 13398912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19777800).

13398912 is an abundant number, since it is smaller than the sum of its proper divisors (26156688).

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

13398912 is an equidigital number, since it uses as much as digits as its factorization.

13398912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3882 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13398912 is about 3660.4524310528. The cubic root of 13398912 is about 237.5143452092.

The spelling of 13398912 in words is "thirteen million, three hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3877 7754 11631 15508 23262 31016 34893 46524 62032 69786 93048 104679 124064 139572 186096 209358 248128 279144 372192 418716 496256 558288 744384 837432 1116576 1488768 1674864 2233152 3349728 4466304 6699456 13398912