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130996395 = 32519115241
BaseRepresentation
bin1111100111011…
…01100010101011
3100010111022021100
413303231202223
5232013341040
620555412443
73150310455
oct763554253
9303438240
10130996395
1167a42592
1237a54123
13211a717a
141357d2d5
15b778b30
hex7ced8ab

130996395 has 24 divisors (see below), whose sum is σ = 228264192. Its totient is φ = 69494400.

The previous prime is 130996387. The next prime is 130996399. The reversal of 130996395 is 593699031.

130996395 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 639 + 5 = 666.

It is not a de Polignac number, because 130996395 - 23 = 130996387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 130996395.

It is not an unprimeable number, because it can be changed into a prime (130996399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975 + ... + 16215.

It is an arithmetic number, because the mean of its divisors is an integer number (9511008).

Almost surely, 2130996395 is an apocalyptic number.

130996395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130996395 is a deficient number, since it is larger than the sum of its proper divisors (97267797).

130996395 is a wasteful number, since it uses less digits than its factorization.

130996395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15443 (or 15440 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 130996395 is about 11445.3656560199. The cubic root of 130996395 is about 507.8706490161.

The spelling of 130996395 in words is "one hundred thirty million, nine hundred ninety-six thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 45 191 573 955 1719 2865 8595 15241 45723 76205 137169 228615 685845 2911031 8733093 14555155 26199279 43665465 130996395