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130661564 = 221125111831
BaseRepresentation
bin1111100100110…
…11110010111100
3100002212021222012
413302123302330
5231422132224
620544310352
73144414335
oct762336274
9302767865
10130661564
1167833a70
12379123b8
13210ba947
14134d328c
15b70e80e
hex7c9bcbc

130661564 has 24 divisors (see below), whose sum is σ = 250459776. Its totient is φ = 59150000.

The previous prime is 130661549. The next prime is 130661569. The reversal of 130661564 is 465166031.

It is a super-3 number, since 3×1306615643 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130661564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130661569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5129 + ... + 16959.

It is an arithmetic number, because the mean of its divisors is an integer number (10435824).

Almost surely, 2130661564 is an apocalyptic number.

It is an amenable number.

130661564 is a deficient number, since it is larger than the sum of its proper divisors (119798212).

130661564 is a wasteful number, since it uses less digits than its factorization.

130661564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 130661564 is about 11430.7289356366. The cubic root of 130661564 is about 507.4375685778.

The spelling of 130661564 in words is "one hundred thirty million, six hundred sixty-one thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 44 251 502 1004 2761 5522 11044 11831 23662 47324 130141 260282 520564 2969581 5939162 11878324 32665391 65330782 130661564