Search a number
-
+
135093 = 372919
BaseRepresentation
bin100000111110110101
320212022110
4200332311
513310333
62521233
71101600
oct407665
9225273
10135093
1192552
1266219
134964a
1437337
152a063
hex20fb5

135093 has 12 divisors (see below), whose sum is σ = 209760. Its totient is φ = 77112.

The previous prime is 135089. The next prime is 135101. The reversal of 135093 is 390531.

It is not a de Polignac number, because 135093 - 22 = 135089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

135093 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135043) 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, 313 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (17480).

2135093 is an apocalyptic number.

It is an amenable number.

135093 is a deficient number, since it is larger than the sum of its proper divisors (74667).

135093 is an equidigital number, since it uses as much as digits as its factorization.

135093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 135093 is about 367.5499965991. The cubic root of 135093 is about 51.3110555306.

The spelling of 135093 in words is "one hundred thirty-five thousand, ninety-three".

Divisors: 1 3 7 21 49 147 919 2757 6433 19299 45031 135093