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232120 = 2357829
BaseRepresentation
bin111000101010111000
3102210102001
4320222320
524411440
64550344
71654510
oct705270
9383361
10232120
11149439
12b23b4
1381865
1460840
1548b9a
hex38ab8

232120 has 32 divisors (see below), whose sum is σ = 597600. Its totient is φ = 79488.

The previous prime is 232117. The next prime is 232129. The reversal of 232120 is 21232.

232120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 232097 and 232106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 694.

It is an arithmetic number, because the mean of its divisors is an integer number (18675).

2232120 is an apocalyptic number.

232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232120 is an abundant number, since it is smaller than the sum of its proper divisors (365480).

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

232120 is a wasteful number, since it uses less digits than its factorization.

232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 232120 is about 481.7883352677. The cubic root of 232120 is about 61.4569288836.

Adding to 232120 its reverse (21232), we get a palindrome (253352).

The spelling of 232120 in words is "two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 829 1658 3316 4145 5803 6632 8290 11606 16580 23212 29015 33160 46424 58030 116060 232120