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130658960 = 2451633237
BaseRepresentation
bin1111100100110…
…11001010010000
3100002212011101202
413302123022100
5231422041320
620544250332
73144403625
oct762331220
9302764352
10130658960
1167832013
12379109a8
13210b96c3
14134d234c
15b70db75
hex7c9b290

130658960 has 20 divisors (see below), whose sum is σ = 303782268. Its totient is φ = 52263552.

The previous prime is 130658947. The next prime is 130658971. The reversal of 130658960 is 69856031.

It can be written as a sum of positive squares in 2 ways, for example, as 14622976 + 116035984 = 3824^2 + 10772^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 816539 + ... + 816698.

Almost surely, 2130658960 is an apocalyptic number.

130658960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130658960 is an abundant number, since it is smaller than the sum of its proper divisors (173123308).

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

130658960 is a wasteful number, since it uses less digits than its factorization.

130658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633250 (or 1633244 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 130658960 is about 11430.6150315720. The cubic root of 130658960 is about 507.4341975885.

The spelling of 130658960 in words is "one hundred thirty million, six hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1633237 3266474 6532948 8166185 13065896 16332370 26131792 32664740 65329480 130658960