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130937825 = 5217535813
BaseRepresentation
bin1111100110111…
…11001111100001
3100010101022221002
413303133033201
5232010002300
620554241345
73146644634
oct763371741
9303338832
10130937825
1167a02587
1237a26255
1321186605
1413565c1b
15b7665d5
hex7cdf3e1

130937825 has 24 divisors (see below), whose sum is σ = 175187448. Its totient is φ = 96711680.

The previous prime is 130937819. The next prime is 130937867. The reversal of 130937825 is 528739031.

It can be written as a sum of positive squares in 12 ways, for example, as 3857296 + 127080529 = 1964^2 + 11273^2 .

It is not a de Polignac number, because 130937825 - 26 = 130937761 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19619 + ... + 25431.

It is an arithmetic number, because the mean of its divisors is an integer number (7299477).

Almost surely, 2130937825 is an apocalyptic number.

It is an amenable number.

130937825 is a deficient number, since it is larger than the sum of its proper divisors (44249623).

130937825 is a wasteful number, since it uses less digits than its factorization.

130937825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 130937825 is about 11442.8066924160. The cubic root of 130937825 is about 507.7949461230.

The spelling of 130937825 in words is "one hundred thirty million, nine hundred thirty-seven thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 53 85 265 425 901 1325 4505 5813 22525 29065 98821 145325 308089 494105 1540445 2470525 5237513 7702225 26187565 130937825