Search a number
-
+
130457327 = 71113532459
BaseRepresentation
bin1111100011010…
…01111011101111
3100002110220210212
413301221323233
5231344113302
620540053035
73142604030
oct761517357
9302426725
10130457327
1167704580
123783417b
13210489b0
141347ca87
15b6be052
hex7c69eef

130457327 has 32 divisors (see below), whose sum is σ = 178536960. Its totient is φ = 92027520.

The previous prime is 130457309. The next prime is 130457329. The reversal of 130457327 is 723754031.

It is not a de Polignac number, because 130457327 - 26 = 130457263 is a prime.

It is a super-2 number, since 2×1304573272 = 34038228335969858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130457293 and 130457302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130457329) by changing a digit.

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, 51824 + ... + 54282.

It is an arithmetic number, because the mean of its divisors is an integer number (5579280).

Almost surely, 2130457327 is an apocalyptic number.

130457327 is a deficient number, since it is larger than the sum of its proper divisors (48079633).

130457327 is a wasteful number, since it uses less digits than its factorization.

130457327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543.

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 130457327 is about 11421.7917596146. The cubic root of 130457327 is about 507.1730389307.

The spelling of 130457327 in words is "one hundred thirty million, four hundred fifty-seven thousand, three hundred twenty-seven".

Divisors: 1 7 11 13 53 77 91 143 371 583 689 1001 2459 4081 4823 7579 17213 27049 31967 53053 130327 189343 223769 351637 912289 1433597 1694251 2461459 10035179 11859757 18636761 130457327