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5830656 = 21131373
BaseRepresentation
bin10110001111100000000000
3101222020011020
4112033200000
52443040111
6324545440
7100362666
oct26174000
911866136
105830656
113322727
121b52280
131291bc0
14abac36
157a2906
hex58f800

5830656 has 96 divisors (see below), whose sum is σ = 16969680. Its totient is φ = 1769472.

The previous prime is 5830639. The next prime is 5830691. The reversal of 5830656 is 6560385.

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

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, 79836 + ... + 79908.

Almost surely, 25830656 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 5830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484840).

5830656 is an abundant number, since it is smaller than the sum of its proper divisors (11139024).

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

5830656 is a wasteful number, since it uses less digits than its factorization.

5830656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5830656 is about 2414.6751334289. The cubic root of 5830656 is about 179.9861717772.

The spelling of 5830656 in words is "five million, eight hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 128 146 156 192 208 219 256 292 312 384 416 438 512 584 624 768 832 876 949 1024 1168 1248 1536 1664 1752 1898 2048 2336 2496 2847 3072 3328 3504 3796 4672 4992 5694 6144 6656 7008 7592 9344 9984 11388 13312 14016 15184 18688 19968 22776 26624 28032 30368 37376 39936 45552 56064 60736 74752 79872 91104 112128 121472 149504 182208 224256 242944 364416 448512 485888 728832 971776 1457664 1943552 2915328 5830656