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130372736 = 2713471667
BaseRepresentation
bin1111100010101…
…01010010000000
3100002022121202212
413301111102000
5231333411421
620534201252
73142102304
oct761252200
9302277685
10130372736
1167656a6a
12377b3228
1321019340
1413459d04
15b6a3e5b
hex7c55480

130372736 has 64 divisors (see below), whose sum is σ = 285828480. Its totient is φ = 58856448.

The previous prime is 130372729. The next prime is 130372757. The reversal of 130372736 is 637273031.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77375 + ... + 79041.

It is an arithmetic number, because the mean of its divisors is an integer number (4466070).

Almost surely, 2130372736 is an apocalyptic number.

130372736 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 130372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142914240).

130372736 is an abundant number, since it is smaller than the sum of its proper divisors (155455744).

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

130372736 is a wasteful number, since it uses less digits than its factorization.

130372736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 32.

The square root of 130372736 is about 11418.0881061586. The cubic root of 130372736 is about 507.0633950297.

The spelling of 130372736 in words is "one hundred thirty million, three hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 1222 1504 1664 1667 2444 3008 3334 4888 6016 6668 9776 13336 19552 21671 26672 39104 43342 53344 78208 78349 86684 106688 156698 173368 213376 313396 346736 626792 693472 1018537 1253584 1386944 2037074 2507168 2773888 4074148 5014336 8148296 10028672 16296592 32593184 65186368 130372736