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129972432 = 2432993371
BaseRepresentation
bin1111011111100…
…11100011010000
3100001120021122210
413233303203100
5231233104212
620521432120
73135514242
oct757634320
9301507583
10129972432
1167403237
123763b640
1320c09085
1413394092
15b62553c
hex7bf38d0

129972432 has 40 divisors (see below), whose sum is σ = 347343840. Its totient is φ = 41829760.

The previous prime is 129972421. The next prime is 129972433. The reversal of 129972432 is 234279921.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129972433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45294 + ... + 48077.

It is an arithmetic number, because the mean of its divisors is an integer number (8683596).

Almost surely, 2129972432 is an apocalyptic number.

129972432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129972432 is an abundant number, since it is smaller than the sum of its proper divisors (217371408).

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

129972432 is a wasteful number, since it uses less digits than its factorization.

129972432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93411 (or 93405 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 129972432 is about 11400.5452501185. The cubic root of 129972432 is about 506.5438906883.

The spelling of 129972432 in words is "one hundred twenty-nine million, nine hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 93371 186742 280113 373484 560226 746968 1120452 1493936 2240904 2707759 4481808 5415518 8123277 10831036 16246554 21662072 32493108 43324144 64986216 129972432