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130141564 = 22719435689
BaseRepresentation
bin1111100000111…
…00110101111100
3100001212212122221
413300130311330
5231304012224
620525215124
73140120320
oct760346574
9301785587
10130141564
1167509313
12377014a4
1320c68057
14133d9980
15b65a6e4
hex7c1cd7c

130141564 has 48 divisors (see below), whose sum is σ = 280403200. Its totient is φ = 51601536.

The previous prime is 130141547. The next prime is 130141577. The reversal of 130141564 is 465141031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20032 + ... + 25720.

Almost surely, 2130141564 is an apocalyptic number.

130141564 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 130141564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140201600).

130141564 is an abundant number, since it is smaller than the sum of its proper divisors (150261636).

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

130141564 is a wasteful number, since it uses less digits than its factorization.

130141564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 130141564 is about 11407.9605539290. The cubic root of 130141564 is about 506.7635158429.

Adding to 130141564 its reverse (465141031), we get a palindrome (595282595).

The spelling of 130141564 in words is "one hundred thirty million, one hundred forty-one thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 5689 5719 11378 11438 22756 22876 39823 79646 108091 159292 216182 244627 432364 489254 756637 978508 1513274 1712389 3026548 3424778 4647913 6849556 9295826 18591652 32535391 65070782 130141564