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130365936 = 2434100591
BaseRepresentation
bin1111100010100…
…11100111110000
3100002022021110000
413301103213300
5231333202221
620534110000
73142043421
oct761234760
9302267400
10130365936
1167651948
12377ab300
132101620c
1413457648
15b6a1e26
hex7c539f0

130365936 has 50 divisors (see below), whose sum is σ = 377320592. Its totient is φ = 43454880.

The previous prime is 130365929. The next prime is 130365947. The reversal of 130365936 is 639563031.

130365936 is a `hidden beast` number, since 1 + 30 + 36 + 593 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130365936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49000 + ... + 51591.

Almost surely, 2130365936 is an apocalyptic number.

130365936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130365936 is an abundant number, since it is smaller than the sum of its proper divisors (246954656).

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

130365936 is a wasteful number, since it uses less digits than its factorization.

130365936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100611 (or 100596 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 130365936 is about 11417.7903291311. The cubic root of 130365936 is about 507.0545790478.

The spelling of 130365936 in words is "one hundred thirty million, three hundred sixty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 100591 201182 301773 402364 603546 804728 905319 1207092 1609456 1810638 2414184 2715957 3621276 4828368 5431914 7242552 8147871 10863828 14485104 16295742 21727656 32591484 43455312 65182968 130365936