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130685584 = 24311731523
BaseRepresentation
bin1111100101000…
…01101010010000
3100002220111220211
413302201222100
5231423414314
620545013504
73144544351
oct762415220
9302814824
10130685584
1167850017
1237924294
13210c8863
14134dbd28
15b7169c4
hex7ca1a90

130685584 has 40 divisors (see below), whose sum is σ = 263054592. Its totient is φ = 62828160.

The previous prime is 130685561. The next prime is 130685587. The reversal of 130685584 is 485586031.

130685584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130685587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85047 + ... + 86569.

Almost surely, 2130685584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130685584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131527296).

130685584 is an abundant number, since it is smaller than the sum of its proper divisors (132369008).

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

130685584 is a wasteful number, since it uses less digits than its factorization.

130685584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 130685584 is about 11431.7795640049. The cubic root of 130685584 is about 507.4686613827.

The spelling of 130685584 in words is "one hundred thirty million, six hundred eighty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 31 62 124 173 248 346 496 692 1384 1523 2768 3046 5363 6092 10726 12184 21452 24368 42904 47213 85808 94426 188852 263479 377704 526958 755408 1053916 2107832 4215664 8167849 16335698 32671396 65342792 130685584