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265960 = 23561109
BaseRepresentation
bin1000000111011101000
3111111211101
41000323220
532002320
65411144
72155252
oct1007350
9444741
10265960
11171902
12109ab4
1394096
146ccd2
1553c0a
hex40ee8

265960 has 32 divisors (see below), whose sum is σ = 613800. Its totient is φ = 103680.

The previous prime is 265957. The next prime is 265961. The reversal of 265960 is 69562.

It can be written as a sum of positive squares in 4 ways, for example, as 164836 + 101124 = 406^2 + 318^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (265961) 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, 2386 + ... + 2494.

2265960 is an apocalyptic number.

265960 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 265960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306900).

265960 is an abundant number, since it is smaller than the sum of its proper divisors (347840).

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

265960 is a wasteful number, since it uses less digits than its factorization.

265960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 265960 is about 515.7130985344. The cubic root of 265960 is about 64.3090520792.

It can be divided in two parts, 265 and 960, that added together give a triangular number (1225 = T49).

The spelling of 265960 in words is "two hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 109 122 218 244 305 436 488 545 610 872 1090 1220 2180 2440 4360 6649 13298 26596 33245 53192 66490 132980 265960