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232380 = 223251291
BaseRepresentation
bin111000101110111100
3102210202200
4320232330
524414010
64551500
71655331
oct705674
9383680
10232380
11149655
12b2590
1381a05
1460988
1548cc0
hex38bbc

232380 has 36 divisors (see below), whose sum is σ = 705432. Its totient is φ = 61920.

The previous prime is 232367. The next prime is 232381. The reversal of 232380 is 83232.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 825.

2232380 is an apocalyptic number.

232380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232380 is an abundant number, since it is smaller than the sum of its proper divisors (473052).

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

232380 is a wasteful number, since it uses less digits than its factorization.

232380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 232380 is about 482.0580877861. The cubic root of 232380 is about 61.4798665009.

The spelling of 232380 in words is "two hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1291 2582 3873 5164 6455 7746 11619 12910 15492 19365 23238 25820 38730 46476 58095 77460 116190 232380