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133893 = 351929
BaseRepresentation
bin100000101100000101
320210200000
4200230011
513241033
62511513
71065234
oct405405
9223600
10133893
1191661
1265599
1348c36
1436b1b
1529a13
hex20b05

133893 has 24 divisors (see below), whose sum is σ = 218400. Its totient is φ = 81648.

The previous prime is 133877. The next prime is 133919. The reversal of 133893 is 398331.

133893 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133893 - 24 = 133877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

133893 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4603 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2133893 is an apocalyptic number.

It is an amenable number.

133893 is a deficient number, since it is larger than the sum of its proper divisors (84507).

133893 is an equidigital number, since it uses as much as digits as its factorization.

133893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 133893 is about 365.9139243046. The cubic root of 133893 is about 51.1586753545.

It can be divided in two parts, 1338 and 93, that added together give a triangular number (1431 = T53).

The spelling of 133893 in words is "one hundred thirty-three thousand, eight hundred ninety-three".

Divisors: 1 3 9 19 27 29 57 81 87 171 243 261 513 551 783 1539 1653 2349 4617 4959 7047 14877 44631 133893