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235664 = 241113103
BaseRepresentation
bin111001100010010000
3102222021022
4321202100
530020124
65015012
72001032
oct714220
9388238
10235664
11151070
12b4468
1383360
1461c52
1549c5e
hex39890

235664 has 40 divisors (see below), whose sum is σ = 541632. Its totient is φ = 97920.

The previous prime is 235663. The next prime is 235673. The reversal of 235664 is 466532.

It is a Harshad number since it is a multiple of its sum of digits (26).

Its product of digits (4320) is a multiple of the sum of its prime factors (135).

It is not an unprimeable number, because it can be changed into a prime (235661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2237 + ... + 2339.

2235664 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 235664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816).

235664 is an abundant number, since it is smaller than the sum of its proper divisors (305968).

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

235664 is a wasteful number, since it uses less digits than its factorization.

235664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 235664 is about 485.4523663553. The cubic root of 235664 is about 61.7681245184.

The spelling of 235664 in words is "two hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 103 104 143 176 206 208 286 412 572 824 1133 1144 1339 1648 2266 2288 2678 4532 5356 9064 10712 14729 18128 21424 29458 58916 117832 235664