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130436496 = 24322339383
BaseRepresentation
bin1111100011001…
…00110110010000
3100002102212020100
413301210312100
5231342431441
620535412400
73142456221
oct761446620
9302385210
10130436496
116769a963
1237824100
132103c378
1413475248
15b6b7cb6
hex7c64d90

130436496 has 60 divisors (see below), whose sum is σ = 380922048. Its totient is φ = 41587392.

The previous prime is 130436489. The next prime is 130436497. The reversal of 130436496 is 694634031.

130436496 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 3 + 649 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130436496.

It is not an unprimeable number, because it can be changed into a prime (130436497) 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 11 ways as a sum of consecutive naturals, for example, 16380 + ... + 23003.

Almost surely, 2130436496 is an apocalyptic number.

130436496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130436496 is an abundant number, since it is smaller than the sum of its proper divisors (250485552).

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

130436496 is a wasteful number, since it uses less digits than its factorization.

130436496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39420 (or 39411 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 130436496 is about 11420.8798260029. The cubic root of 130436496 is about 507.1460429155.

The spelling of 130436496 in words is "one hundred thirty million, four hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 39383 78766 118149 157532 236298 315064 354447 472596 630128 708894 905809 945192 1417788 1811618 1890384 2717427 2835576 3623236 5434854 5671152 7246472 8152281 10869708 14492944 16304562 21739416 32609124 43478832 65218248 130436496