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130287504 = 24341239277
BaseRepresentation
bin1111100010000…
…00011110010000
3100002011021212010
413301000132100
5231323200004
620532302520
73141265644
oct761003620
9302137763
10130287504
11675a8a26
1237771a40
1320cb95c9
1413436c24
15b688a89
hex7c40790

130287504 has 80 divisors (see below), whose sum is σ = 347477760. Its totient is φ = 42040320.

The previous prime is 130287499. The next prime is 130287529. The reversal of 130287504 is 405782031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470214 + ... + 470490.

It is an arithmetic number, because the mean of its divisors is an integer number (4343472).

Almost surely, 2130287504 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 130287504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173738880).

130287504 is an abundant number, since it is smaller than the sum of its proper divisors (217190256).

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

130287504 is a wasteful number, since it uses less digits than its factorization.

130287504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 130287504 is about 11414.3551723258. The cubic root of 130287504 is about 506.9528723083.

The spelling of 130287504 in words is "one hundred thirty million, two hundred eighty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 239 246 277 328 478 492 554 656 717 831 956 984 1108 1434 1662 1912 1968 2216 2868 3324 3824 4432 5736 6648 9799 11357 11472 13296 19598 22714 29397 34071 39196 45428 58794 66203 68142 78392 90856 117588 132406 136284 156784 181712 198609 235176 264812 272568 397218 470352 529624 545136 794436 1059248 1588872 2714323 3177744 5428646 8142969 10857292 16285938 21714584 32571876 43429168 65143752 130287504