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129431088 = 2433535653
BaseRepresentation
bin1111011011011…
…11011000110000
3100000112210002000
413231233120300
5231113243323
620502054000
73131101053
oct755573060
9300483060
10129431088
1167073546
123741a300
1320a79857
1413292a9a
15b569e43
hex7b6f630

129431088 has 80 divisors (see below), whose sum is σ = 378591840. Its totient is φ = 42322176.

The previous prime is 129431063. The next prime is 129431123. The reversal of 129431088 is 880134921.

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 15 ways as a sum of consecutive naturals, for example, 20070 + ... + 25722.

It is an arithmetic number, because the mean of its divisors is an integer number (4732398).

Almost surely, 2129431088 is an apocalyptic number.

129431088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129431088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189295920).

129431088 is an abundant number, since it is smaller than the sum of its proper divisors (249160752).

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

129431088 is a wasteful number, since it uses less digits than its factorization.

129431088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 129431088 is about 11376.7784543780. The cubic root of 129431088 is about 505.8396488157.

The spelling of 129431088 in words is "one hundred twenty-nine million, four hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5653 5724 7632 11306 11448 16959 22612 22896 33918 45224 50877 67836 90448 101754 135672 152631 203508 271344 299609 305262 407016 599218 610524 814032 898827 1198436 1221048 1797654 2396872 2442096 2696481 3595308 4793744 5392962 7190616 8089443 10785924 14381232 16178886 21571848 32357772 43143696 64715544 129431088