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130355016 = 233114311483
BaseRepresentation
bin1111100010100…
…00111101001000
3100002021201110120
413301100331020
5231332330031
620533543240
73141666531
oct761207510
9302251416
10130355016
1167644720
12377a4b20
132101125c
1413453688
15b69da96
hex7c50f48

130355016 has 64 divisors (see below), whose sum is σ = 363813120. Its totient is φ = 38579520.

The previous prime is 130355011. The next prime is 130355041. The reversal of 130355016 is 610553031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130355011) by changing a digit.

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, 5611 + ... + 17093.

It is an arithmetic number, because the mean of its divisors is an integer number (5684580).

Almost surely, 2130355016 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 130355016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181906560).

130355016 is an abundant number, since it is smaller than the sum of its proper divisors (233458104).

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

130355016 is a wasteful number, since it uses less digits than its factorization.

130355016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 130355016 is about 11417.3121180075. The cubic root of 130355016 is about 507.0404209766.

The spelling of 130355016 in words is "one hundred thirty million, three hundred fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 11483 22966 34449 45932 68898 91864 126313 137796 252626 275592 378939 493769 505252 757878 987538 1010504 1481307 1515756 1975076 2962614 3031512 3950152 5431459 5925228 10862918 11850456 16294377 21725836 32588754 43451672 65177508 130355016