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235280 = 24517173
BaseRepresentation
bin111001011100010000
3102221202002
4321130100
530012110
65013132
71666643
oct713420
9387662
10235280
11150851
12b41a8
1383126
1461a5a
1549aa5
hex39710

235280 has 40 divisors (see below), whose sum is σ = 582552. Its totient is φ = 88064.

The previous prime is 235273. The next prime is 235289. The reversal of 235280 is 82532.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 135424 = 316^2 + 368^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1274 + ... + 1446.

2235280 is an apocalyptic number.

235280 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 235280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291276).

235280 is an abundant number, since it is smaller than the sum of its proper divisors (347272).

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

235280 is a wasteful number, since it uses less digits than its factorization.

235280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 235280 is about 485.0566977169. The cubic root of 235280 is about 61.7345571593.

It can be divided in two parts, 235 and 280, that added together give a palindrome (515).

The spelling of 235280 in words is "two hundred thirty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 173 272 340 346 680 692 865 1360 1384 1730 2768 2941 3460 5882 6920 11764 13840 14705 23528 29410 47056 58820 117640 235280