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235320 = 23353753
BaseRepresentation
bin111001011100111000
3102221210120
4321130320
530012240
65013240
72000031
oct713470
9387716
10235320
11150888
12b4220
1383157
1461a88
1549ad0
hex39738

235320 has 64 divisors (see below), whose sum is σ = 738720. Its totient is φ = 59904.

The previous prime is 235309. The next prime is 235337. The reversal of 235320 is 23532.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 235320.

It is a congruent number.

It is an unprimeable number.

235320 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 15 ways as a sum of consecutive naturals, for example, 4414 + ... + 4466.

2235320 is an apocalyptic number.

235320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369360).

235320 is an abundant number, since it is smaller than the sum of its proper divisors (503400).

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

235320 is a wasteful number, since it uses less digits than its factorization.

235320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 235320 is about 485.0979282578. The cubic root of 235320 is about 61.7380554626.

Adding to 235320 its reverse (23532), we get a palindrome (258852).

It can be divided in two parts, 235 and 320, that added together give a palindrome (555).

The spelling of 235320 in words is "two hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 53 60 74 106 111 120 148 159 185 212 222 265 296 318 370 424 444 530 555 636 740 795 888 1060 1110 1272 1480 1590 1961 2120 2220 3180 3922 4440 5883 6360 7844 9805 11766 15688 19610 23532 29415 39220 47064 58830 78440 117660 235320