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260964 = 223211659
BaseRepresentation
bin111111101101100100
3111020222100
4333231210
531322324
65332100
72134554
oct775544
9436870
10260964
11169080
12107030
1391a22
146b164
15524c9
hex3fb64

260964 has 36 divisors (see below), whose sum is σ = 720720. Its totient is φ = 78960.

The previous prime is 260959. The next prime is 260969. The reversal of 260964 is 469062.

260964 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 (260959) and next prime (260969).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 6 and base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (260969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2260964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

260964 is an abundant number, since it is smaller than the sum of its proper divisors (459756).

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

260964 is a wasteful number, since it uses less digits than its factorization.

260964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 260964 is about 510.8463565496. The cubic root of 260964 is about 63.9038269068.

The spelling of 260964 in words is "two hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 659 1318 1977 2636 3954 5931 7249 7908 11862 14498 21747 23724 28996 43494 65241 86988 130482 260964