Search a number
-
+
235290 = 235112331
BaseRepresentation
bin111001011100011010
3102221202110
4321130122
530012130
65013150
71666656
oct713432
9387673
10235290
11150860
12b41b6
1383133
1461a66
1549ab0
hex3971a

235290 has 64 divisors (see below), whose sum is σ = 663552. Its totient is φ = 52800.

The previous prime is 235289. The next prime is 235307. The reversal of 235290 is 92532.

It is a super-2 number, since 2×2352902 = 110722768200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7575 + ... + 7605.

It is an arithmetic number, because the mean of its divisors is an integer number (10368).

2235290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331776).

235290 is an abundant number, since it is smaller than the sum of its proper divisors (428262).

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

235290 is a wasteful number, since it uses less digits than its factorization.

235290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 235290 is about 485.0670056807. The cubic root of 235290 is about 61.7354317723.

It can be divided in two parts, 2352 and 90, that added together give a palindrome (2442).

The spelling of 235290 in words is "two hundred thirty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 31 33 46 55 62 66 69 93 110 115 138 155 165 186 230 253 310 330 341 345 465 506 682 690 713 759 930 1023 1265 1426 1518 1705 2046 2139 2530 3410 3565 3795 4278 5115 7130 7590 7843 10230 10695 15686 21390 23529 39215 47058 78430 117645 235290