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130062816 = 25321334739
BaseRepresentation
bin1111100000010…
…01100111100000
3100001201212122100
413300021213200
5231244002231
620523410400
73136341612
oct760114740
9301655570
10130062816
1167465134
1237683a00
1320c3b260
14133b8db2
15b6421e6
hex7c099e0

130062816 has 72 divisors (see below), whose sum is σ = 398328840. Its totient is φ = 40018176.

The previous prime is 130062781. The next prime is 130062827. The reversal of 130062816 is 618260031.

130062816 is a `hidden beast` number, since 1 + 30 + 0 + 628 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1300628162 = 33832672211699712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130062816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13626 + ... + 21113.

It is an arithmetic number, because the mean of its divisors is an integer number (5532345).

Almost surely, 2130062816 is an apocalyptic number.

130062816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130062816 is an abundant number, since it is smaller than the sum of its proper divisors (268266024).

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

130062816 is a wasteful number, since it uses less digits than its factorization.

130062816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34768 (or 34757 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130062816 is about 11404.5085821354. The cubic root of 130062816 is about 506.6612818757.

The spelling of 130062816 in words is "one hundred thirty million, sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 34739 69478 104217 138956 208434 277912 312651 416868 451607 555824 625302 833736 903214 1111648 1250604 1354821 1667472 1806428 2501208 2709642 3334944 3612856 4064463 5002416 5419284 7225712 8128926 10004832 10838568 14451424 16257852 21677136 32515704 43354272 65031408 130062816