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13216900 = 2252132169
BaseRepresentation
bin110010011010…
…110010000100
3220212111011211
4302122302010
511340420100
61151141204
7220225144
oct62326204
926774154
1013216900
117508064
124514804
132979b68
141a80924
1512611ba
hexc9ac84

13216900 has 18 divisors (see below), whose sum is σ = 28680890. Its totient is φ = 5286720.

The previous prime is 13216873. The next prime is 13216901. The reversal of 13216900 is 961231.

It can be written as a sum of positive squares in 3 ways, for example, as 4072324 + 9144576 = 2018^2 + 3024^2 .

It is a super-2 number, since 2×132169002 = 349372891220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13216901) 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, 65985 + ... + 66184.

Almost surely, 213216900 is an apocalyptic number.

13216900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13216900 is an abundant number, since it is smaller than the sum of its proper divisors (15463990).

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

13216900 is a wasteful number, since it uses less digits than its factorization.

13216900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132183 (or 132176 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 13216900 is about 3635.5054669193. The cubic root of 13216900 is about 236.4339664300.

The spelling of 13216900 in words is "thirteen million, two hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 132169 264338 528676 660845 1321690 2643380 3304225 6608450 13216900