Search a number
-
+
130756335 = 3537435479
BaseRepresentation
bin1111100101100…
…10111011101111
3100010001002222020
413302302323233
5231433200320
620550321223
73145260543
oct762627357
9303032866
10130756335
1167899196
1237959213
1321121b18
1413519a23
15b72c940
hex7cb2eef

130756335 has 32 divisors (see below), whose sum is σ = 219901440. Its totient is φ = 66261888.

The previous prime is 130756277. The next prime is 130756343. The reversal of 130756335 is 533657031.

It is not a de Polignac number, because 130756335 - 27 = 130756207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130756296 and 130756305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21126 + ... + 26604.

It is an arithmetic number, because the mean of its divisors is an integer number (6871920).

Almost surely, 2130756335 is an apocalyptic number.

130756335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130756335 is a deficient number, since it is larger than the sum of its proper divisors (89145105).

130756335 is a wasteful number, since it uses less digits than its factorization.

130756335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567.

The product of its (nonzero) digits is 28350, while the sum is 33.

The square root of 130756335 is about 11434.8736328829. The cubic root of 130756335 is about 507.5602232236.

The spelling of 130756335 in words is "one hundred thirty million, seven hundred fifty-six thousand, three hundred thirty-five".

Divisors: 1 3 5 15 37 43 111 129 185 215 555 645 1591 4773 5479 7955 16437 23865 27395 82185 202723 235597 608169 706791 1013615 1177985 3040845 3533955 8717089 26151267 43585445 130756335