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235956 = 2237532
BaseRepresentation
bin111001100110110100
3102222200010
4321212310
530022311
65020220
72001630
oct714664
9388603
10235956
11151306
12b4670
1383526
1461dc0
1549da6
hex399b4

235956 has 36 divisors (see below), whose sum is σ = 641312. Its totient is φ = 66144.

The previous prime is 235951. The next prime is 235967. The reversal of 235956 is 659532.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235951) by changing a digit.

235956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4426 + ... + 4478.

235956 is a Friedman number, since it can be written as 53^2*6*(9+5), using all its digits and the basic arithmetic operations.

2235956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320656).

235956 is an abundant number, since it is smaller than the sum of its proper divisors (405356).

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

235956 is a wasteful number, since it uses less digits than its factorization.

235956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 65 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 235956 is about 485.7530236653. The cubic root of 235956 is about 61.7936252995.

It can be divided in two parts, 2359 and 56, that added together give a triangular number (2415 = T69).

The spelling of 235956 in words is "two hundred thirty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 2809 4452 5618 8427 11236 16854 19663 33708 39326 58989 78652 117978 235956