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130638096 = 2434100801
BaseRepresentation
bin1111100100101…
…10000100010000
3100002211002210000
413302112010100
5231420404341
620544010000
73144256041
oct762260420
9302732700
10130638096
1167818376
1237900900
13210b0064
14134c88c8
15b7078b6
hex7c96110

130638096 has 50 divisors (see below), whose sum is σ = 378108302. Its totient is φ = 43545600.

The previous prime is 130638077. The next prime is 130638097. The reversal of 130638096 is 690836031.

It is a happy number.

130638096 is a `hidden beast` number, since 13 + 0 + 638 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65610000 + 65028096 = 8100^2 + 8064^2 .

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 130638096.

It is not an unprimeable number, because it can be changed into a prime (130638097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49105 + ... + 51696.

Almost surely, 2130638096 is an apocalyptic number.

130638096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130638096 is an abundant number, since it is smaller than the sum of its proper divisors (247470206).

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

130638096 is a wasteful number, since it uses less digits than its factorization.

130638096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100821 (or 100806 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 130638096 is about 11429.7023583294. The cubic root of 130638096 is about 507.4071866314.

The spelling of 130638096 in words is "one hundred thirty million, six hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 100801 201602 302403 403204 604806 806408 907209 1209612 1612816 1814418 2419224 2721627 3628836 4838448 5443254 7257672 8164881 10886508 14515344 16329762 21773016 32659524 43546032 65319048 130638096