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235080 = 23325653
BaseRepresentation
bin111001011001001000
3102221110200
4321121020
530010310
65012200
71666236
oct713110
9387420
10235080
1115068a
12b4060
1383001
1461956
15499c0
hex39648

235080 has 48 divisors (see below), whose sum is σ = 765180. Its totient is φ = 62592.

The previous prime is 235069. The next prime is 235091. The reversal of 235080 is 80532.

235080 = T65 + T66 + ... + T118.

235080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (235069) and next prime (235091).

It can be written as a sum of positive squares in 2 ways, for example, as 224676 + 10404 = 474^2 + 102^2 .

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

It is an unprimeable number.

235080 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 11 ways as a sum of consecutive naturals, for example, 34 + ... + 686.

2235080 is an apocalyptic number.

235080 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 235080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382590).

235080 is an abundant number, since it is smaller than the sum of its proper divisors (530100).

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

235080 is a wasteful number, since it uses less digits than its factorization.

235080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 235080 is about 484.8504924201. The cubic root of 235080 is about 61.7170596931.

The spelling of 235080 in words is "two hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 653 1306 1959 2612 3265 3918 5224 5877 6530 7836 9795 11754 13060 15672 19590 23508 26120 29385 39180 47016 58770 78360 117540 235080