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5878560 = 253537331
BaseRepresentation
bin10110011011001100100000
3102001122212110
4112123030200
53001103220
6325555320
7100652442
oct26331440
912048773
105878560
113355716
121b75b40
1312aa94c
14ad0492
157b1be0
hex59b320

5878560 has 96 divisors (see below), whose sum is σ = 19075392. Its totient is φ = 1520640.

The previous prime is 5878559. The next prime is 5878571. The reversal of 5878560 is 658785.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17595 + ... + 17925.

It is an arithmetic number, because the mean of its divisors is an integer number (198702).

Almost surely, 25878560 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 5878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537696).

5878560 is an abundant number, since it is smaller than the sum of its proper divisors (13196832).

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

5878560 is a wasteful number, since it uses less digits than its factorization.

5878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5878560 is about 2424.5741894197. The cubic root of 5878560 is about 180.4777432317.

The spelling of 5878560 in words is "five million, eight hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 331 370 444 480 555 592 662 740 888 993 1110 1184 1324 1480 1655 1776 1986 2220 2648 2960 3310 3552 3972 4440 4965 5296 5920 6620 7944 8880 9930 10592 12247 13240 15888 17760 19860 24494 26480 31776 36741 39720 48988 52960 61235 73482 79440 97976 122470 146964 158880 183705 195952 244940 293928 367410 391904 489880 587856 734820 979760 1175712 1469640 1959520 2939280 5878560