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130056576 = 2731326053
BaseRepresentation
bin1111100000010…
…00000110000000
3100001201120002020
413300020012000
5231243302301
620523321440
73136314456
oct760100600
9301646066
10130056576
1167460481
1237680280
1320c38470
14133b69d6
15b640436
hex7c08180

130056576 has 64 divisors (see below), whose sum is σ = 372051120. Its totient is φ = 40015872.

The previous prime is 130056569. The next prime is 130056607. The reversal of 130056576 is 675650031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 8035 + ... + 18018.

Almost surely, 2130056576 is an apocalyptic number.

130056576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130056576 is an abundant number, since it is smaller than the sum of its proper divisors (241994544).

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

130056576 is a wasteful number, since it uses less digits than its factorization.

130056576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26083 (or 26071 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 130056576 is about 11404.2350028400. The cubic root of 130056576 is about 506.6531790808.

The spelling of 130056576 in words is "one hundred thirty million, fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 26053 52106 78159 104212 156318 208424 312636 338689 416848 625272 677378 833696 1016067 1250544 1354756 1667392 2032134 2501088 2709512 3334784 4064268 5002176 5419024 8128536 10004352 10838048 16257072 21676096 32514144 43352192 65028288 130056576