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130575564 = 223676397
BaseRepresentation
bin1111100100001…
…10110011001100
3100002200221000000
413302012303030
5231411404224
620542404300
73143605530
oct762066314
9302627000
10130575564
1167785399
1237890690
132108a762
14134adbc0
15b6e40c9
hex7c86ccc

130575564 has 84 divisors (see below), whose sum is σ = 391608784. Its totient is φ = 37301472.

The previous prime is 130575547. The next prime is 130575587. The reversal of 130575564 is 465575031.

130575564 is a `hidden beast` number, since 1 + 30 + 575 + 56 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17214 + ... + 23610.

Almost surely, 2130575564 is an apocalyptic number.

130575564 is a gapful number since it is divisible by the number (14) 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 130575564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195804392).

130575564 is an abundant number, since it is smaller than the sum of its proper divisors (261033220).

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

130575564 is an equidigital number, since it uses as much as digits as its factorization.

130575564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 130575564 is about 11426.9665265984. The cubic root of 130575564 is about 507.3262142069.

The spelling of 130575564 in words is "one hundred thirty million, five hundred seventy-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6397 6804 10206 12794 19191 20412 25588 38382 44779 57573 76764 89558 115146 134337 172719 179116 230292 268674 345438 403011 518157 537348 690876 806022 1036314 1209033 1554471 1612044 2072628 2418066 3108942 3627099 4663413 4836132 6217884 7254198 9326826 10881297 14508396 18653652 21762594 32643891 43525188 65287782 130575564