Search a number
-
+
130357395 = 3257259119
BaseRepresentation
bin1111100010100…
…01100010010011
3100002021211201200
413301101202103
5231332414040
620534002243
73142006500
oct761214223
9302254650
10130357395
1167646493
12377a6383
132101236c
14134544a7
15b69e630
hex7c51893

130357395 has 36 divisors (see below), whose sum is σ = 262847520. Its totient is φ = 59590944.

The previous prime is 130357379. The next prime is 130357417. The reversal of 130357395 is 593753031.

It is a happy number.

It is not a de Polignac number, because 130357395 - 24 = 130357379 is a prime.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 27355 + ... + 31764.

It is an arithmetic number, because the mean of its divisors is an integer number (7301320).

Almost surely, 2130357395 is an apocalyptic number.

130357395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130357395 is an abundant number, since it is smaller than the sum of its proper divisors (132490125).

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

130357395 is a wasteful number, since it uses less digits than its factorization.

130357395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59144 (or 59134 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 36.

The square root of 130357395 is about 11417.4163014230. The cubic root of 130357395 is about 507.0435054809.

The spelling of 130357395 in words is "one hundred thirty million, three hundred fifty-seven thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 59119 177357 295595 413833 532071 886785 1241499 2069165 2660355 2896831 3724497 6207495 8690493 14484155 18622485 26071479 43452465 130357395