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232140 = 22355373
BaseRepresentation
bin111000101011001100
3102210102210
4320223030
524412030
64550420
71654536
oct705314
9383383
10232140
11149457
12b2410
138187c
1460856
1548bb0
hex38acc

232140 has 48 divisors (see below), whose sum is σ = 671328. Its totient is φ = 59904.

The previous prime is 232129. The next prime is 232153. The reversal of 232140 is 41232.

232140 is nontrivially palindromic in base 9.

232140 is digitally balanced in base 2 and base 3, because in such bases 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 (12).

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232140.

It is an unprimeable number.

232140 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, 3144 + ... + 3216.

It is an arithmetic number, because the mean of its divisors is an integer number (13986).

2232140 is an apocalyptic number.

232140 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 232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335664).

232140 is an abundant number, since it is smaller than the sum of its proper divisors (439188).

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

232140 is a wasteful number, since it uses less digits than its factorization.

232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232140 is about 481.8090908233. The cubic root of 232140 is about 61.4586939236.

Adding to 232140 its reverse (41232), we get a palindrome (273372).

The spelling of 232140 in words is "two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 73 106 146 159 212 219 265 292 318 365 438 530 636 730 795 876 1060 1095 1460 1590 2190 3180 3869 4380 7738 11607 15476 19345 23214 38690 46428 58035 77380 116070 232140