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132713126 = 27133312203
BaseRepresentation
bin1111110100100…
…00101010100110
3100020201112011222
413322100222212
5232433310001
621100300342
73201020510
oct772205246
9306645158
10132713126
1168a05377
12385416b2
13216586a0
14138a8bb0
15b9b761b
hex7e90aa6

132713126 has 32 divisors (see below), whose sum is σ = 245860608. Its totient is φ = 52319520.

The previous prime is 132713111. The next prime is 132713149. The reversal of 132713126 is 621317231.

132713126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1327131262 = 35225547625383752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 132713095 and 132713104.

It is a congruent number.

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, 59141 + ... + 61343.

It is an arithmetic number, because the mean of its divisors is an integer number (7683144).

Almost surely, 2132713126 is an apocalyptic number.

132713126 is a deficient number, since it is larger than the sum of its proper divisors (113147482).

132713126 is a wasteful number, since it uses less digits than its factorization.

132713126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556.

The product of its digits is 1512, while the sum is 26.

The square root of 132713126 is about 11520.1183153646. The cubic root of 132713126 is about 510.0796056693.

The spelling of 132713126 in words is "one hundred thirty-two million, seven hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 7 13 14 26 91 182 331 662 2203 2317 4303 4406 4634 8606 15421 28639 30121 30842 57278 60242 200473 400946 729193 1458386 5104351 9479509 10208702 18959018 66356563 132713126