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293013 = 3274651
BaseRepresentation
bin1000111100010010101
3112212221100
41013202111
533334023
610140313
72330160
oct1074225
9485840
10293013
11190166
12121699
13a34a6
1478ad7
155bc43
hex47895

293013 has 12 divisors (see below), whose sum is σ = 483808. Its totient is φ = 167400.

The previous prime is 292993. The next prime is 293021. The reversal of 293013 is 310392.

It is not a de Polignac number, because 293013 - 214 = 276629 is a prime.

It is a Duffinian number.

293013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293093) 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, 2263 + ... + 2388.

2293013 is an apocalyptic number.

It is an amenable number.

293013 is a deficient number, since it is larger than the sum of its proper divisors (190795).

293013 is a wasteful number, since it uses less digits than its factorization.

293013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 293013 is about 541.3067522210. The cubic root of 293013 is about 66.4195042379.

Subtracting from 293013 its sum of digits (18), we obtain a triangular number (292995 = T765).

The spelling of 293013 in words is "two hundred ninety-three thousand, thirteen".

Divisors: 1 3 7 9 21 63 4651 13953 32557 41859 97671 293013