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130364740 = 225111015867
BaseRepresentation
bin1111100010100…
…11010101000100
3100002022012210201
413301103111010
5231333132430
620534100244
73142040062
oct761232504
9302265721
10130364740
1167650a60
12377aa684
13210157cc
1413457032
15b6a18ca
hex7c53544

130364740 has 48 divisors (see below), whose sum is σ = 301662144. Its totient is φ = 46928000.

The previous prime is 130364737. The next prime is 130364753. The reversal of 130364740 is 47463031.

It is a junction number, because it is equal to n+sod(n) for n = 130364699 and 130364708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19287 + ... + 25153.

It is an arithmetic number, because the mean of its divisors is an integer number (6284628).

Almost surely, 2130364740 is an apocalyptic number.

130364740 is a gapful number since it is divisible by the number (10) 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 130364740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150831072).

130364740 is an abundant number, since it is smaller than the sum of its proper divisors (171297404).

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

130364740 is a wasteful number, since it uses less digits than its factorization.

130364740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 130364740 is about 11417.7379546038. The cubic root of 130364740 is about 507.0530284405.

The spelling of 130364740 in words is "one hundred thirty million, three hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 5867 11110 11734 22220 23468 29335 58670 64537 117340 129074 258148 322685 592567 645370 1185134 1290740 2370268 2962835 5925670 6518237 11851340 13036474 26072948 32591185 65182370 130364740