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129835072 = 263754829
BaseRepresentation
bin1111011110100…
…10000001000000
3100001022022020101
413233102001000
5231214210242
620514452144
73134402623
oct757220100
9301268211
10129835072
116731a014
1237594054
1320b8b6b3
1413359dba
15b5e99b7
hex7bd2040

129835072 has 28 divisors (see below), whose sum is σ = 264609580. Its totient is φ = 63161856.

The previous prime is 129835067. The next prime is 129835087. The reversal of 129835072 is 270538921.

It can be written as a sum of positive squares in 2 ways, for example, as 72318016 + 57517056 = 8504^2 + 7584^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25047 + ... + 29782.

Almost surely, 2129835072 is an apocalyptic number.

It is an amenable number.

129835072 is an abundant number, since it is smaller than the sum of its proper divisors (134774508).

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

129835072 is an equidigital number, since it uses as much as digits as its factorization.

129835072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54878 (or 54868 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 129835072 is about 11394.5193843356. The cubic root of 129835072 is about 506.3653825914.

The spelling of 129835072 in words is "one hundred twenty-nine million, eight hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 54829 109658 219316 438632 877264 1754528 2028673 3509056 4057346 8114692 16229384 32458768 64917536 129835072