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13632816 = 2431911487
BaseRepresentation
bin110100000000…
…010100110000
3221122121201010
4310000110300
511442222231
61204110520
7223606551
oct64002460
927577633
1013632816
11777159a
124695440
132a94272
141b4c328
1512e4546
hexd00530

13632816 has 40 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 4517440.

The previous prime is 13632791. The next prime is 13632821. The reversal of 13632816 is 61823631.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8425 + ... + 9911.

Almost surely, 213632816 is an apocalyptic number.

13632816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13632816 is an abundant number, since it is smaller than the sum of its proper divisors (21793488).

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

13632816 is a wasteful number, since it uses less digits than its factorization.

13632816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1683 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13632816 is about 3692.2643458994. The cubic root of 13632816 is about 238.8884711569. Note that the first 3 decimals are identical.

The spelling of 13632816 in words is "thirteen million, six hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1487 1528 2292 2974 3056 4461 4584 5948 8922 9168 11896 17844 23792 35688 71376 284017 568034 852051 1136068 1704102 2272136 3408204 4544272 6816408 13632816