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129424520 = 23537157557
BaseRepresentation
bin1111011011011…
…01110010001000
3100000112110001202
413231231302020
5231113041040
620502003332
73131042651
oct755556210
9300473052
10129424520
1167069615
1237416548
1320a76874
1413290528
15b568015
hex7b6dc88

129424520 has 64 divisors (see below), whose sum is σ = 301520880. Its totient is φ = 49959936.

The previous prime is 129424501. The next prime is 129424541. The reversal of 129424520 is 25424921.

It can be written as a sum of positive squares in 8 ways, for example, as 40424164 + 89000356 = 6358^2 + 9434^2 .

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, 232082 + ... + 232638.

Almost surely, 2129424520 is an apocalyptic number.

129424520 is a gapful number since it is divisible by the number (10) 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 129424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150760440).

129424520 is an abundant number, since it is smaller than the sum of its proper divisors (172096360).

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

129424520 is a wasteful number, since it uses less digits than its factorization.

129424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 129424520 is about 11376.4897925502. The cubic root of 129424520 is about 505.8310923680.

The spelling of 129424520 in words is "one hundred twenty-nine million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 157 185 296 314 370 557 628 740 785 1114 1256 1480 1570 2228 2785 3140 4456 5570 5809 6280 11140 11618 20609 22280 23236 29045 41218 46472 58090 82436 87449 103045 116180 164872 174898 206090 232360 349796 412180 437245 699592 824360 874490 1748980 3235613 3497960 6471226 12942452 16178065 25884904 32356130 64712260 129424520