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129828732 = 223117691279
BaseRepresentation
bin1111011110100…
…00011101111100
3100001021222112120
413233100131330
5231214004412
620514402540
73134345265
oct757203574
9301258476
10129828732
1167315280
1237590450
1320b88847
141335796c
15b5e7b8c
hex7bd077c

129828732 has 48 divisors (see below), whose sum is σ = 331161600. Its totient is φ = 39260160.

The previous prime is 129828707. The next prime is 129828793. The reversal of 129828732 is 237828921.

It is a happy number.

129828732 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

129828732 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100869 + ... + 102147.

It is an arithmetic number, because the mean of its divisors is an integer number (6899200).

Almost surely, 2129828732 is an apocalyptic number.

129828732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129828732 is an abundant number, since it is smaller than the sum of its proper divisors (201332868).

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

129828732 is a wasteful number, since it uses less digits than its factorization.

129828732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2064 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 129828732 is about 11394.2411770157. The cubic root of 129828732 is about 506.3571403172.

The spelling of 129828732 in words is "one hundred twenty-nine million, eight hundred twenty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 769 1279 1538 2307 2558 3076 3837 4614 5116 7674 8459 9228 14069 15348 16918 25377 28138 33836 42207 50754 56276 84414 101508 168828 983551 1967102 2950653 3934204 5901306 10819061 11802612 21638122 32457183 43276244 64914366 129828732