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5832680 = 235737563
BaseRepresentation
bin10110001111111111101000
3101222022221012
4112033333220
52443121210
6325003052
7100401620
oct26177750
911868835
105832680
1133241a7
121b53488
131292ab9
14abb880
157a3305
hex58ffe8

5832680 has 64 divisors (see below), whose sum is σ = 15431040. Its totient is φ = 1942272.

The previous prime is 5832679. The next prime is 5832709. The reversal of 5832680 is 862385.

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, 10079 + ... + 10641.

It is an arithmetic number, because the mean of its divisors is an integer number (241110).

Almost surely, 25832680 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 5832680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715520).

5832680 is an abundant number, since it is smaller than the sum of its proper divisors (9598360).

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

5832680 is a wasteful number, since it uses less digits than its factorization.

5832680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5832680 is about 2415.0942010613. The cubic root of 5832680 is about 180.0069956129.

The spelling of 5832680 in words is "five million, eight hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 563 740 1036 1126 1295 1480 2072 2252 2590 2815 3941 4504 5180 5630 7882 10360 11260 15764 19705 20831 22520 31528 39410 41662 78820 83324 104155 145817 157640 166648 208310 291634 416620 583268 729085 833240 1166536 1458170 2916340 5832680