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130417625 = 5313174721
BaseRepresentation
bin1111100011000…
…00001111011001
3100002101220100102
413301200033121
5231341331000
620535145145
73142350212
oct761401731
9302356312
10130417625
1167687768
12378151b5
13210338c0
141346c409
15b6b23d5
hex7c603d9

130417625 has 32 divisors (see below), whose sum is σ = 185631264. Its totient is φ = 90624000.

The previous prime is 130417619. The next prime is 130417633. The reversal of 130417625 is 526714031.

It can be written as a sum of positive squares in 16 ways, for example, as 95335696 + 35081929 = 9764^2 + 5923^2 .

It is not a de Polignac number, because 130417625 - 28 = 130417369 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25265 + ... + 29985.

It is an arithmetic number, because the mean of its divisors is an integer number (5800977).

Almost surely, 2130417625 is an apocalyptic number.

It is an amenable number.

130417625 is a deficient number, since it is larger than the sum of its proper divisors (55213639).

130417625 is a wasteful number, since it uses less digits than its factorization.

130417625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 130417625 is about 11420.0536338495. The cubic root of 130417625 is about 507.1215844885.

The spelling of 130417625 in words is "one hundred thirty million, four hundred seventeen thousand, six hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 221 325 425 1105 1625 2125 4721 5525 23605 27625 61373 80257 118025 306865 401285 590125 1043341 1534325 2006425 5216705 7671625 10032125 26083525 130417625