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132938 = 2135113
BaseRepresentation
bin100000011101001010
320202100122
4200131022
513223223
62503242
71062401
oct403512
9222318
10132938
1190973
1264b22
1348680
1436638
15295c8
hex2074a

132938 has 8 divisors (see below), whose sum is σ = 214788. Its totient is φ = 61344.

The previous prime is 132929. The next prime is 132947. The reversal of 132938 is 839231.

It is an interprime number because it is at equal distance from previous prime (132929) and next prime (132947).

It can be written as a sum of positive squares in 2 ways, for example, as 97969 + 34969 = 313^2 + 187^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (26), and also a Moran number because the ratio is a prime number: 5113 = 132938 / (1 + 3 + 2 + 9 + 3 + 8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132938.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2531 + ... + 2582.

2132938 is an apocalyptic number.

132938 is a deficient number, since it is larger than the sum of its proper divisors (81850).

132938 is a wasteful number, since it uses less digits than its factorization.

132938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128.

The product of its digits is 1296, while the sum is 26.

The square root of 132938 is about 364.6066373504. The cubic root of 132938 is about 51.0367542313.

The spelling of 132938 in words is "one hundred thirty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 13 26 5113 10226 66469 132938