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133924 = 2274783
BaseRepresentation
bin100000101100100100
320210201011
4200230210
513241144
62512004
71065310
oct405444
9223634
10133924
119168a
1265604
1348c5b
1436b40
1529a34
hex20b24

133924 has 12 divisors (see below), whose sum is σ = 267904. Its totient is φ = 57384.

The previous prime is 133919. The next prime is 133949. The reversal of 133924 is 429331.

133924 = T9 + T10 + ... + T92.

133924 is an admirable number.

It is a d-powerful number, because it can be written as 1 + 38 + 93 + 310 + 211 + 48 .

It is a junction number, because it is equal to n+sod(n) for n = 133895 and 133904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2364 + ... + 2419.

2133924 is an apocalyptic number.

133924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133924 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133924 is a wasteful number, since it uses less digits than its factorization.

133924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4792 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 133924 is about 365.9562815419. The cubic root of 133924 is about 51.1626232745.

The spelling of 133924 in words is "one hundred thirty-three thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 4783 9566 19132 33481 66962 133924