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232080 = 2435967
BaseRepresentation
bin111000101010010000
3102210100120
4320222100
524411310
64550240
71654422
oct705220
9383316
10232080
11149402
12b2380
1381834
1460812
1548b70
hex38a90

232080 has 40 divisors (see below), whose sum is σ = 720192. Its totient is φ = 61824.

The previous prime is 232079. The next prime is 232081. The reversal of 232080 is 80232.

It is an interprime number because it is at equal distance from previous prime (232079) and next prime (232081).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2320802 = 107722252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (232081) 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, 244 + ... + 723.

2232080 is an apocalyptic number.

232080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232080 is an abundant number, since it is smaller than the sum of its proper divisors (488112).

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

232080 is a wasteful number, since it uses less digits than its factorization.

232080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 232080 is about 481.7468214737. The cubic root of 232080 is about 61.4533984994.

The spelling of 232080 in words is "two hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 967 1934 2901 3868 4835 5802 7736 9670 11604 14505 15472 19340 23208 29010 38680 46416 58020 77360 116040 232080