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262113 = 3412131
BaseRepresentation
bin111111111111100001
3111022112220
4333333201
531341423
65341253
72141115
oct777741
9438486
10262113
11169a25
12107829
13923c7
146b745
15529e3
hex3ffe1

262113 has 8 divisors (see below), whose sum is σ = 358176. Its totient is φ = 170400.

The previous prime is 262111. The next prime is 262121. The reversal of 262113 is 311262.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 262113 - 21 = 262111 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

262113 is a lucky number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 262092 and 262101.

It is not an unprimeable number, because it can be changed into a prime (262111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (44772).

262113 is a Friedman number, since it can be written as (2^(2+1))^6-31, using all its digits and the basic arithmetic operations.

2262113 is an apocalyptic number.

It is an amenable number.

262113 is a deficient number, since it is larger than the sum of its proper divisors (96063).

262113 is a wasteful number, since it uses less digits than its factorization.

262113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175.

The product of its digits is 72, while the sum is 15.

The square root of 262113 is about 511.9697256674. The cubic root of 262113 is about 63.9974771141.

Adding to 262113 its reverse (311262), we get a palindrome (573375).

The spelling of 262113 in words is "two hundred sixty-two thousand, one hundred thirteen".

Divisors: 1 3 41 123 2131 6393 87371 262113