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130024976 = 24171014733
BaseRepresentation
bin1111100000000…
…00011000010000
3100001122221201212
413300000120100
5231241244401
620522515252
73136123364
oct760003020
9301587655
10130024976
1167439764
1237665b28
1320c26c73
14133a92a4
15b635dbb
hex7c00610

130024976 has 40 divisors (see below), whose sum is σ = 269440344. Its totient is φ = 60569600.

The previous prime is 130024933. The next prime is 130025011. The reversal of 130024976 is 679420031.

It can be written as a sum of positive squares in 4 ways, for example, as 48664576 + 81360400 = 6976^2 + 9020^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25106 + ... + 29838.

Almost surely, 2130024976 is an apocalyptic number.

130024976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130024976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134720172).

130024976 is an abundant number, since it is smaller than the sum of its proper divisors (139415368).

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

130024976 is a wasteful number, since it uses less digits than its factorization.

130024976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 130024976 is about 11402.8494684443. The cubic root of 130024976 is about 506.6121417164.

The spelling of 130024976 in words is "one hundred thirty million, twenty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 4733 6868 9466 13736 18932 27472 37864 75728 80461 160922 321844 478033 643688 956066 1287376 1912132 3824264 7648528 8126561 16253122 32506244 65012488 130024976