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13285376 = 21113499
BaseRepresentation
bin110010101011…
…100000000000
3220222222002222
4302223200000
511400113001
61152430212
7220631606
oct62534000
926888088
1013285376
117554555
124548368
1329a2090
141a9b876
15127661b
hexcab800

13285376 has 48 divisors (see below), whose sum is σ = 28665000. Its totient is φ = 6119424.

The previous prime is 13285369. The next prime is 13285379. The reversal of 13285376 is 67358231.

It is a super-2 number, since 2×132853762 = 353002430922752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13285379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26375 + ... + 26873.

Almost surely, 213285376 is an apocalyptic number.

13285376 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 13285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14332500).

13285376 is an abundant number, since it is smaller than the sum of its proper divisors (15379624).

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

13285376 is an equidigital number, since it uses as much as digits as its factorization.

13285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 13285376 is about 3644.9109728497. The cubic root of 13285376 is about 236.8415802319.

The spelling of 13285376 in words is "thirteen million, two hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 499 512 832 998 1024 1664 1996 2048 3328 3992 6487 6656 7984 12974 13312 15968 25948 26624 31936 51896 63872 103792 127744 207584 255488 415168 510976 830336 1021952 1660672 3321344 6642688 13285376