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130755504 = 24311247479
BaseRepresentation
bin1111100101100…
…10101110110000
3100010001001211110
413302302232300
5231433134004
620550313320
73145255245
oct762625660
9303031743
10130755504
1167898600
1237958840
1321121629
14135195cc
15b72c589
hex7cb2bb0

130755504 has 120 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 38698880.

The previous prime is 130755491. The next prime is 130755533. The reversal of 130755504 is 405557031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272737 + ... + 273215.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2130755504 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 130755504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

130755504 is an abundant number, since it is smaller than the sum of its proper divisors (249220176).

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

130755504 is a wasteful number, since it uses less digits than its factorization.

130755504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 130755504 is about 11434.8372966125. The cubic root of 130755504 is about 507.5591479833.

The spelling of 130755504 in words is "one hundred thirty million, seven hundred fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 121 132 141 176 188 242 264 282 363 376 479 484 517 528 564 726 752 958 968 1034 1128 1437 1452 1551 1916 1936 2068 2256 2874 2904 3102 3832 4136 5269 5687 5748 5808 6204 7664 8272 10538 11374 11496 12408 15807 17061 21076 22513 22748 22992 24816 31614 34122 42152 45026 45496 57959 63228 67539 68244 84304 90052 90992 115918 126456 135078 136488 173877 180104 231836 247643 252912 270156 272976 347754 360208 463672 495286 540312 695508 742929 927344 990572 1080624 1391016 1485858 1981144 2724073 2782032 2971716 3962288 5448146 5943432 8172219 10896292 11886864 16344438 21792584 32688876 43585168 65377752 130755504