Search a number
-
+
1560864 = 25371229
BaseRepresentation
bin101111101000100100000
32221022002210
411331010200
5344421424
653242120
716160424
oct5750440
92838083
101560864
11976778
12633340
134285b6
142c8b84
1520c729
hex17d120

1560864 has 48 divisors (see below), whose sum is σ = 4173120. Its totient is φ = 510720.

The previous prime is 1560859. The next prime is 1560877. The reversal of 1560864 is 4680651.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6702 + ... + 6930.

It is an arithmetic number, because the mean of its divisors is an integer number (86940).

21560864 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 1560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086560).

1560864 is an abundant number, since it is smaller than the sum of its proper divisors (2612256).

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

1560864 is a wasteful number, since it uses less digits than its factorization.

1560864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1560864 is about 1249.3454286145. The cubic root of 1560864 is about 115.9992072875. Note that the first 3 decimals are identical.

The spelling of 1560864 in words is "one million, five hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 229 284 426 458 568 687 852 916 1136 1374 1704 1832 2272 2748 3408 3664 5496 6816 7328 10992 16259 21984 32518 48777 65036 97554 130072 195108 260144 390216 520288 780432 1560864