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130393792 = 264767647
BaseRepresentation
bin1111100010110…
…10011011000000
3100002100200122201
413301122123000
5231340100132
620534442544
73142220554
oct761323300
9302320581
10130393792
1167670871
1237803454
1321025ab9
1413463864
15b6aa2e7
hex7c5a6c0

130393792 has 56 divisors (see below), whose sum is σ = 268614144. Its totient is φ = 62760192.

The previous prime is 130393691. The next prime is 130393793. The reversal of 130393792 is 297393031.

It is not an unprimeable number, because it can be changed into a prime (130393793) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 201213 + ... + 201859.

Almost surely, 2130393792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134307072).

130393792 is an abundant number, since it is smaller than the sum of its proper divisors (138220352).

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

130393792 is an equidigital number, since it uses as much as digits as its factorization.

130393792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 37.

The square root of 130393792 is about 11419.0101147166. The cubic root of 130393792 is about 507.0906915142.

The spelling of 130393792 in words is "one hundred thirty million, three hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 67 94 134 188 268 376 536 647 752 1072 1294 1504 2144 2588 3008 3149 4288 5176 6298 10352 12596 20704 25192 30409 41408 43349 50384 60818 86698 100768 121636 173396 201536 243272 346792 486544 693584 973088 1387168 1946176 2037403 2774336 4074806 8149612 16299224 32598448 65196896 130393792