Search a number
-
+
132715 = 51119127
BaseRepresentation
bin100000011001101011
320202001101
4200121223
513221330
62502231
71061632
oct403153
9222041
10132715
1190790
1264977
134853b
1436519
15294ca
hex2066b

132715 has 16 divisors (see below), whose sum is σ = 184320. Its totient is φ = 90720.

The previous prime is 132709. The next prime is 132721. The reversal of 132715 is 517231.

It is an interprime number because it is at equal distance from previous prime (132709) and next prime (132721).

It is not a de Polignac number, because 132715 - 23 = 132707 is a prime.

It is a super-2 number, since 2×1327152 = 35226542450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

132715 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 132692 and 132701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982 + ... + 1108.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

132715 is a Friedman number, since it can be written as 51^3+(7+1)^2, using all its digits and the basic arithmetic operations.

2132715 is an apocalyptic number.

132715 is a deficient number, since it is larger than the sum of its proper divisors (51605).

132715 is a wasteful number, since it uses less digits than its factorization.

132715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162.

The product of its digits is 210, while the sum is 19.

The square root of 132715 is about 364.3006999719. The cubic root of 132715 is about 51.0082006549.

Adding to 132715 its reverse (517231), we get a palindrome (649946).

The spelling of 132715 in words is "one hundred thirty-two thousand, seven hundred fifteen".

Divisors: 1 5 11 19 55 95 127 209 635 1045 1397 2413 6985 12065 26543 132715