Search a number
-
+
235560 = 233513151
BaseRepresentation
bin111001100000101000
3102222010110
4321200220
530014220
65014320
72000523
oct714050
9388113
10235560
11150a86
12b43a0
13832b0
1461bba
1549be0
hex39828

235560 has 64 divisors (see below), whose sum is σ = 766080. Its totient is φ = 57600.

The previous prime is 235559. The next prime is 235577. The reversal of 235560 is 65532.

235560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1485 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2235560 is an apocalyptic number.

235560 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 235560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

235560 is an abundant number, since it is smaller than the sum of its proper divisors (530520).

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

235560 is a wasteful number, since it uses less digits than its factorization.

235560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 235560 is about 485.3452379492. The cubic root of 235560 is about 61.7590369614.

It can be divided in two parts, 2355 and 60, that added together give a triangular number (2415 = T69).

The spelling of 235560 in words is "two hundred thirty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 151 156 195 260 302 312 390 453 520 604 755 780 906 1208 1510 1560 1812 1963 2265 3020 3624 3926 4530 5889 6040 7852 9060 9815 11778 15704 18120 19630 23556 29445 39260 47112 58890 78520 117780 235560