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129517024 = 2571379563
BaseRepresentation
bin1111011100001…
…00010111100000
3100000201010221211
413232010113200
5231124021044
620503555504
73131606440
oct756042740
9300633854
10129517024
116712206a
123745bb94
1320aa99c0
14132b6120
15b585634
hex7b845e0

129517024 has 96 divisors (see below), whose sum is σ = 318366720. Its totient is φ = 50499072.

The previous prime is 129517009. The next prime is 129517027. The reversal of 129517024 is 420715921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129517027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229767 + ... + 230329.

It is an arithmetic number, because the mean of its divisors is an integer number (3316320).

Almost surely, 2129517024 is an apocalyptic number.

129517024 is a gapful number since it is divisible by the number (14) 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 129517024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183360).

129517024 is an abundant number, since it is smaller than the sum of its proper divisors (188849696).

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

129517024 is a wasteful number, since it uses less digits than its factorization.

129517024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 129517024 is about 11380.5546437773. The cubic root of 129517024 is about 505.9515750916.

The spelling of 129517024 in words is "one hundred twenty-nine million, five hundred seventeen thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 79 91 104 112 158 182 208 224 316 364 416 553 563 632 728 1027 1106 1126 1264 1456 2054 2212 2252 2528 2912 3941 4108 4424 4504 7189 7319 7882 8216 8848 9008 14378 14638 15764 16432 17696 18016 28756 29276 31528 32864 44477 51233 57512 58552 63056 88954 102466 115024 117104 126112 177908 204932 230048 234208 311339 355816 409864 578201 622678 711632 819728 1156402 1245356 1423264 1639456 2312804 2490712 4047407 4625608 4981424 8094814 9251216 9962848 16189628 18502432 32379256 64758512 129517024