Search a number
-
+
130579776 = 263425189
BaseRepresentation
bin1111100100001…
…11110101000000
3100002201010210000
413302013311000
5231412023101
620542440000
73143624025
oct762076500
9302633700
10130579776
1167788578
1237893000
132108c652
14134b154c
15b6e5486
hex7c87d40

130579776 has 70 divisors (see below), whose sum is σ = 387094730. Its totient is φ = 43524864.

The previous prime is 130579759. The next prime is 130579783. The reversal of 130579776 is 677975031.

130579776 is a `hidden beast` number, since 1 + 3 + 0 + 579 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129413376 + 1166400 = 11376^2 + 1080^2 .

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 7411 + ... + 17778.

Almost surely, 2130579776 is an apocalyptic number.

130579776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130579776 is an abundant number, since it is smaller than the sum of its proper divisors (256514954).

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

130579776 is an equidigital number, since it uses as much as digits as its factorization.

130579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25213 (or 25194 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 130579776 is about 11427.1508259933. The cubic root of 130579776 is about 507.3316691199.

The spelling of 130579776 in words is "one hundred thirty million, five hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 25189 50378 75567 100756 151134 201512 226701 302268 403024 453402 604536 680103 806048 906804 1209072 1360206 1612096 1813608 2040309 2418144 2720412 3627216 4080618 4836288 5440824 7254432 8161236 10881648 14508864 16322472 21763296 32644944 43526592 65289888 130579776