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13695408 = 243295107
BaseRepresentation
bin110100001111…
…100110110000
3221202210120100
4310033212300
512001223113
61205312400
7224260206
oct64174660
927683510
1013695408
117804621
124705700
132ab68bc
141b67076
151307d73
hexd0f9b0

13695408 has 30 divisors (see below), whose sum is σ = 38328524. Its totient is φ = 4565088.

The previous prime is 13695401. The next prime is 13695413. The reversal of 13695408 is 80459631.

13695408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13695401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47410 + ... + 47697.

Almost surely, 213695408 is an apocalyptic number.

13695408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13695408 is an abundant number, since it is smaller than the sum of its proper divisors (24633116).

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

13695408 is a wasteful number, since it uses less digits than its factorization.

13695408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95121 (or 95112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13695408 is about 3700.7307386515. The cubic root of 13695408 is about 239.2535139010.

The spelling of 13695408 in words is "thirteen million, six hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 95107 190214 285321 380428 570642 760856 855963 1141284 1521712 1711926 2282568 3423852 4565136 6847704 13695408