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235480 = 2357292
BaseRepresentation
bin111001011111011000
3102222000111
4321133120
530013410
65014104
72000350
oct713730
9388014
10235480
11150a13
12b4334
138324b
1461b60
1549b8a
hex397d8

235480 has 48 divisors (see below), whose sum is σ = 627120. Its totient is φ = 77952.

The previous prime is 235447. The next prime is 235483. The reversal of 235480 is 84532.

235480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 310 + 48 + 57 + 85 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235483) by changing a digit.

235480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 8106 + ... + 8134.

It is an arithmetic number, because the mean of its divisors is an integer number (13065).

2235480 is an apocalyptic number.

235480 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 235480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313560).

235480 is an abundant number, since it is smaller than the sum of its proper divisors (391640).

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

235480 is a wasteful number, since it uses less digits than its factorization.

235480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 235480 is about 485.2628153898. The cubic root of 235480 is about 61.7520447126.

The spelling of 235480 in words is "two hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 841 1015 1160 1624 1682 2030 3364 4060 4205 5887 6728 8120 8410 11774 16820 23548 29435 33640 47096 58870 117740 235480