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109908072 = 23323134877
BaseRepresentation
bin1101000110100…
…01000001101000
321122210220112100
412203101001220
5211114024242
614523413400
72503126461
oct643210150
9248726470
10109908072
115704961a
1230984260
1319a02581
141084dd68
1599b054c
hex68d1068

109908072 has 48 divisors (see below), whose sum is σ = 298679940. Its totient is φ = 36511488.

The previous prime is 109908067. The next prime is 109908133. The reversal of 109908072 is 270809901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87497316 + 22410756 = 9354^2 + 4734^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20098 + ... + 24974.

Almost surely, 2109908072 is an apocalyptic number.

109908072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109908072 is an abundant number, since it is smaller than the sum of its proper divisors (188771868).

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

109908072 is a wasteful number, since it uses less digits than its factorization.

109908072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 109908072 is about 10483.7050702507. The cubic root of 109908072 is about 479.0084740693.

The spelling of 109908072 in words is "one hundred nine million, nine hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313 626 939 1252 1878 2504 2817 3756 4877 5634 7512 9754 11268 14631 19508 22536 29262 39016 43893 58524 87786 117048 175572 351144 1526501 3053002 4579503 6106004 9159006 12212008 13738509 18318012 27477018 36636024 54954036 109908072