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130395504 = 24379137251
BaseRepresentation
bin1111100010110…
…10110101110000
3100002100210000010
413301122311300
5231340124004
620534454520
73142225551
oct761326560
9302323003
10130395504
1167672088
1237804440
1321026805
1413464328
15b6aaa89
hex7c5ad70

130395504 has 80 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 42432000.

The previous prime is 130395497. The next prime is 130395527. The reversal of 130395504 is 405593031.

It is a congruent number.

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, 519379 + ... + 519629.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2130395504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130395504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

130395504 is an abundant number, since it is smaller than the sum of its proper divisors (214582416).

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

130395504 is a wasteful number, since it uses less digits than its factorization.

130395504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 130395504 is about 11419.0850771855. The cubic root of 130395504 is about 507.0929107800.

The spelling of 130395504 in words is "one hundred thirty million, three hundred ninety-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 137 158 237 251 274 316 411 474 502 548 632 753 822 948 1004 1096 1264 1506 1644 1896 2008 2192 3012 3288 3792 4016 6024 6576 10823 12048 19829 21646 32469 34387 39658 43292 59487 64938 68774 79316 86584 103161 118974 129876 137548 158632 173168 206322 237948 259752 275096 317264 412644 475896 519504 550192 825288 951792 1650576 2716573 5433146 8149719 10866292 16299438 21732584 32598876 43465168 65197752 130395504