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132428673 = 32131131869
BaseRepresentation
bin1111110010010…
…11001110000001
3100020012001222200
413321023032001
5232400204143
621050223413
73165424266
oct771131601
9306161880
10132428673
1168830693
1238424b69
1321589080
141383326d
15b95d1d3
hex7e4b381

132428673 has 12 divisors (see below), whose sum is σ = 206000340. Its totient is φ = 81494496.

The previous prime is 132428671. The next prime is 132428713. The reversal of 132428673 is 376824231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37307664 + 95121009 = 6108^2 + 9753^2 .

It is not a de Polignac number, because 132428673 - 21 = 132428671 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (132428671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565818 + ... + 566051.

It is an arithmetic number, because the mean of its divisors is an integer number (17166695).

Almost surely, 2132428673 is an apocalyptic number.

132428673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132428673 is a deficient number, since it is larger than the sum of its proper divisors (73571667).

132428673 is a wasteful number, since it uses less digits than its factorization.

132428673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131888 (or 1131885 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 132428673 is about 11507.7657692534. The cubic root of 132428673 is about 509.7149156419.

The spelling of 132428673 in words is "one hundred thirty-two million, four hundred twenty-eight thousand, six hundred seventy-three".

Divisors: 1 3 9 13 39 117 1131869 3395607 10186821 14714297 44142891 132428673