Search a number
-
+
235416 = 23317577
BaseRepresentation
bin111001011110011000
3102221221010
4321132120
530013131
65013520
72000226
oct713630
9387833
10235416
11150965
12b42a0
13831cc
1461b16
1549b46
hex39798

235416 has 32 divisors (see below), whose sum is σ = 624240. Its totient is φ = 73728.

The previous prime is 235397. The next prime is 235439. The reversal of 235416 is 614532.

It is a happy number.

235416 is nontrivially palindromic in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 235392 and 235401.

It is a congruent number.

It is an unprimeable number.

235416 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 7 ways as a sum of consecutive naturals, for example, 120 + ... + 696.

2235416 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 235416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312120).

235416 is an abundant number, since it is smaller than the sum of its proper divisors (388824).

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

235416 is a wasteful number, since it uses less digits than its factorization.

235416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 235416 is about 485.1968672611. The cubic root of 235416 is about 61.7464497732.

Adding to 235416 its reverse (614532), we get a palindrome (849948).

It can be divided in two parts, 23541 and 6, that multiplied together give a triangular number (141246 = T531).

The spelling of 235416 in words is "two hundred thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 577 1154 1731 2308 3462 4616 6924 9809 13848 19618 29427 39236 58854 78472 117708 235416