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130996368 = 2432909697
BaseRepresentation
bin1111100111011…
…01100010010000
3100010111022020100
413303231202100
5232013340433
620555412400
73150310416
oct763554220
9303438210
10130996368
1167a42568
1237a54100
13211a7159
141357d2b6
15b778b13
hex7ced890

130996368 has 30 divisors (see below), whose sum is σ = 366608294. Its totient is φ = 43665408.

The previous prime is 130996367. The next prime is 130996381. The reversal of 130996368 is 863699031.

130996368 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124277904 + 6718464 = 11148^2 + 2592^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (130996363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 454705 + ... + 454992.

Almost surely, 2130996368 is an apocalyptic number.

130996368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130996368 is an abundant number, since it is smaller than the sum of its proper divisors (235611926).

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

130996368 is a wasteful number, since it uses less digits than its factorization.

130996368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909711 (or 909702 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 130996368 is about 11445.3644765031. The cubic root of 130996368 is about 507.8706141233.

The spelling of 130996368 in words is "one hundred thirty million, nine hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 909697 1819394 2729091 3638788 5458182 7277576 8187273 10916364 14555152 16374546 21832728 32749092 43665456 65498184 130996368