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109132896 = 2533136671
BaseRepresentation
bin1101000000100…
…11110001100000
321121100112012010
412200103301200
5210414223041
614455032520
72463420465
oct640236140
9247315163
10109132896
115666a184
123066b740
13197c07a2
14106cb66c
1598aaa16
hex6813c60

109132896 has 48 divisors (see below), whose sum is σ = 295723008. Its totient is φ = 35203200.

The previous prime is 109132889. The next prime is 109132921. The reversal of 109132896 is 698231901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15360 + ... + 21311.

It is an arithmetic number, because the mean of its divisors is an integer number (6160896).

Almost surely, 2109132896 is an apocalyptic number.

109132896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109132896 is an abundant number, since it is smaller than the sum of its proper divisors (186590112).

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

109132896 is a wasteful number, since it uses less digits than its factorization.

109132896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36715 (or 36707 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 109132896 is about 10446.6691342265. The cubic root of 109132896 is about 477.8796753679.

The spelling of 109132896 in words is "one hundred nine million, one hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 36671 73342 110013 146684 220026 293368 440052 586736 880104 1136801 1173472 1760208 2273602 3410403 3520416 4547204 6820806 9094408 13641612 18188816 27283224 36377632 54566448 109132896