Search a number
-
+
5812960 = 25547773
BaseRepresentation
bin10110001011001011100000
3101221022212211
4112023023200
52442003320
6324331504
7100260256
oct26131340
911838784
105812960
1133103aa
121b43b94
131286b2a
14ab45d6
1579c55a
hex58b2e0

5812960 has 48 divisors (see below), whose sum is σ = 14043456. Its totient is φ = 2272768.

The previous prime is 5812957. The next prime is 5812979. The reversal of 5812960 is 692185.

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, 7134 + ... + 7906.

It is an arithmetic number, because the mean of its divisors is an integer number (292572).

Almost surely, 25812960 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 5812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021728).

5812960 is an abundant number, since it is smaller than the sum of its proper divisors (8230496).

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

5812960 is a wasteful number, since it uses less digits than its factorization.

5812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 5812960 is about 2411.0080879168. The cubic root of 5812960 is about 179.8039016675.

The spelling of 5812960 in words is "five million, eight hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 773 940 1504 1546 1880 3092 3760 3865 6184 7520 7730 12368 15460 24736 30920 36331 61840 72662 123680 145324 181655 290648 363310 581296 726620 1162592 1453240 2906480 5812960