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13664900 = 2252136649
BaseRepresentation
bin110100001000…
…001010000100
3221201020201102
4310020022010
511444234100
61204515232
7224102234
oct64101204
927636642
1013664900
117793707
1246abb18
132aa5a52
141b59cc4
1512edcd5
hexd08284

13664900 has 18 divisors (see below), whose sum is σ = 29653050. Its totient is φ = 5465920.

The previous prime is 13664897. The next prime is 13664909. The reversal of 13664900 is 946631.

It can be written as a sum of positive squares in 3 ways, for example, as 3717184 + 9947716 = 1928^2 + 3154^2 .

It is not an unprimeable number, because it can be changed into a prime (13664909) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 68225 + ... + 68424.

Almost surely, 213664900 is an apocalyptic number.

13664900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13664900 is an abundant number, since it is smaller than the sum of its proper divisors (15988150).

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

13664900 is a wasteful number, since it uses less digits than its factorization.

13664900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136663 (or 136656 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 13664900 is about 3696.6065519609. The cubic root of 13664900 is about 239.0757274780.

The spelling of 13664900 in words is "thirteen million, six hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 136649 273298 546596 683245 1366490 2732980 3416225 6832450 13664900