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129315424 = 2574771173
BaseRepresentation
bin1111011010100…
…11001001100000
3100000022220102011
413231103021200
5231101043144
620455402304
73130106620
oct755231140
9300286364
10129315424
1166aa4657
1237383394
1320a39004
1413262880
15b545a34
hex7b53260

129315424 has 96 divisors (see below), whose sum is σ = 303077376. Its totient is φ = 53168640.

The previous prime is 129315409. The next prime is 129315443. The reversal of 129315424 is 424513921.

It is a congruent number.

It is an unprimeable number.

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, 747402 + ... + 747574.

It is an arithmetic number, because the mean of its divisors is an integer number (3157056).

Almost surely, 2129315424 is an apocalyptic number.

129315424 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 129315424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151538688).

129315424 is an abundant number, since it is smaller than the sum of its proper divisors (173761952).

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

129315424 is a wasteful number, since it uses less digits than its factorization.

129315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 129315424 is about 11371.6939811094. The cubic root of 129315424 is about 505.6889254339.

The spelling of 129315424 in words is "one hundred twenty-nine million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 71 94 112 142 173 188 224 284 329 346 376 497 568 658 692 752 994 1136 1211 1316 1384 1504 1988 2272 2422 2632 2768 3337 3976 4844 5264 5536 6674 7952 8131 9688 10528 12283 13348 15904 16262 19376 23359 24566 26696 32524 38752 46718 49132 53392 56917 65048 85981 93436 98264 106784 113834 130096 171962 186872 196528 227668 260192 343924 373744 393056 455336 577301 687848 747488 910672 1154602 1375696 1821344 2309204 2751392 4041107 4618408 8082214 9236816 16164428 18473632 32328856 64657712 129315424