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133172 = 22132197
BaseRepresentation
bin100000100000110100
320202200022
4200200310
513230142
62504312
71063154
oct404064
9222608
10133172
1191066
1265098
1348800
1436764
15296d2
hex20834

133172 has 18 divisors (see below), whose sum is σ = 253638. Its totient is φ = 61152.

The previous prime is 133169. The next prime is 133183. The reversal of 133172 is 271331.

It can be written as a sum of positive squares in 3 ways, for example, as 13456 + 119716 = 116^2 + 346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (14091).

2133172 is an apocalyptic number.

It is an amenable number.

133172 is a deficient number, since it is larger than the sum of its proper divisors (120466).

133172 is a wasteful number, since it uses less digits than its factorization.

133172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 126, while the sum is 17.

The square root of 133172 is about 364.9273900381. The cubic root of 133172 is about 51.0666819674.

The spelling of 133172 in words is "one hundred thirty-three thousand, one hundred seventy-two".

Divisors: 1 2 4 13 26 52 169 197 338 394 676 788 2561 5122 10244 33293 66586 133172