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130576640 = 285102013
BaseRepresentation
bin1111100100001…
…11000100000000
3100002200222110212
413302013010000
5231411423030
620542413252
73143611625
oct762070400
9302628425
10130576640
1167786187
1237891228
132108b0ac
14134b034c
15b6e4595
hex7c87100

130576640 has 36 divisors (see below), whose sum is σ = 312774924. Its totient is φ = 52230144.

The previous prime is 130576639. The next prime is 130576657. The reversal of 130576640 is 46675031.

It can be written as a sum of positive squares in 2 ways, for example, as 17707264 + 112869376 = 4208^2 + 10624^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 130576597 and 130576606.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49727 + ... + 52286.

Almost surely, 2130576640 is an apocalyptic number.

130576640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130576640 is an abundant number, since it is smaller than the sum of its proper divisors (182198284).

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

130576640 is an equidigital number, since it uses as much as digits as its factorization.

130576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102034 (or 102020 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 130576640 is about 11427.0136081130. The cubic root of 130576640 is about 507.3276077333.

The spelling of 130576640 in words is "one hundred thirty million, five hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 102013 204026 408052 510065 816104 1020130 1632208 2040260 3264416 4080520 6528832 8161040 13057664 16322080 26115328 32644160 65288320 130576640