Search a number
-
+
131807039 = 7131499721
BaseRepresentation
bin1111101101100…
…11011100111111
3100012000111021012
413312303130333
5232220311124
621025025435
73160225040
oct766633477
9305014235
10131807039
1168446641
123818527b
13213cc140
14137108c7
15b888e0e
hex7db373f

131807039 has 16 divisors (see below), whose sum is σ = 163329600. Its totient is φ = 103576320.

The previous prime is 131807033. The next prime is 131807057. The reversal of 131807039 is 930708131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131807039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131806996 and 131807014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131807033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8699 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (10208100).

Almost surely, 2131807039 is an apocalyptic number.

131807039 is a deficient number, since it is larger than the sum of its proper divisors (31522561).

131807039 is a wasteful number, since it uses less digits than its factorization.

131807039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 131807039 is about 11480.7246722496. The cubic root of 131807039 is about 508.9161127923.

It can be divided in two parts, 1318070 and 39, that multiplied together give a triangular number (51404730 = T10139).

The spelling of 131807039 in words is "one hundred thirty-one million, eight hundred seven thousand, thirty-nine".

Divisors: 1 7 13 91 149 1043 1937 9721 13559 68047 126373 884611 1448429 10139003 18829577 131807039