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129072732 = 22326874003
BaseRepresentation
bin1111011000101…
…11111001011100
322222212120111120
413230113321130
5231020311412
620450250540
73125046225
oct754277134
9288776446
10129072732
1166949288
1237286a50
13209826c9
14131dc24c
15b4e8b8c
hex7b17e5c

129072732 has 24 divisors (see below), whose sum is σ = 301357056. Its totient is φ = 42997488.

The previous prime is 129072731. The next prime is 129072733. The reversal of 129072732 is 237270921.

It is an interprime number because it is at equal distance from previous prime (129072731) and next prime (129072733).

It is a junction number, because it is equal to n+sod(n) for n = 129072693 and 129072702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129072731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30243 + ... + 34245.

It is an arithmetic number, because the mean of its divisors is an integer number (12556544).

Almost surely, 2129072732 is an apocalyptic number.

129072732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129072732 is an abundant number, since it is smaller than the sum of its proper divisors (172284324).

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

129072732 is a wasteful number, since it uses less digits than its factorization.

129072732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 129072732 is about 11361.0180881821. The cubic root of 129072732 is about 505.3723777024.

The spelling of 129072732 in words is "one hundred twenty-nine million, seventy-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 2687 4003 5374 8006 8061 10748 12009 16012 16122 24018 32244 48036 10756061 21512122 32268183 43024244 64536366 129072732