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13496328 = 233362483
BaseRepresentation
bin110011011111…
…000000001000
3221101200111000
4303133000020
511423340303
61201135000
7222500616
oct63370010
927350430
1013496328
117688a9a
12462a460
132a470c1
141b146b6
1512b8da3
hexcdf008

13496328 has 32 divisors (see below), whose sum is σ = 37490400. Its totient is φ = 4498704.

The previous prime is 13496323. The next prime is 13496333. The reversal of 13496328 is 82369431.

13496328 is a `hidden beast` number, since 13 + 4 + 9 + 632 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13496323) and next prime (13496333).

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 junction number, because it is equal to n+sod(n) for n = 13496292 and 13496301.

It is not an unprimeable number, because it can be changed into a prime (13496321) 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, 31026 + ... + 31457.

It is an arithmetic number, because the mean of its divisors is an integer number (1171575).

Almost surely, 213496328 is an apocalyptic number.

13496328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13496328 is an abundant number, since it is smaller than the sum of its proper divisors (23994072).

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

13496328 is a wasteful number, since it uses less digits than its factorization.

13496328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62498 (or 62488 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13496328 is about 3673.7348842833. The cubic root of 13496328 is about 238.0885671833.

It can be divided in two parts, 13496 and 328, that added together give a cube (13824 = 243).

The spelling of 13496328 in words is "thirteen million, four hundred ninety-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 62483 124966 187449 249932 374898 499864 562347 749796 1124694 1499592 1687041 2249388 3374082 4498776 6748164 13496328