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5985684 = 2233192917
BaseRepresentation
bin10110110101010110010100
3102021002211000
4112311112110
53013020214
6332143300
7101606655
oct26652624
912232730
105985684
113419151
122007b30
131317633
14b1b52c
157d3809
hex5b5594

5985684 has 48 divisors (see below), whose sum is σ = 16340800. Its totient is φ = 1889568.

The previous prime is 5985677. The next prime is 5985689. The reversal of 5985684 is 4865895.

5985684 is a `hidden beast` number, since 598 + 56 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5985689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594 + ... + 3510.

Almost surely, 25985684 is an apocalyptic number.

5985684 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5985684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170400).

5985684 is an abundant number, since it is smaller than the sum of its proper divisors (10355116).

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

5985684 is a wasteful number, since it uses less digits than its factorization.

5985684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2941 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5985684 is about 2446.5657563205. The cubic root of 5985684 is about 181.5674225299.

The spelling of 5985684 in words is "five million, nine hundred eighty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 2917 5834 8751 11668 17502 26253 35004 52506 55423 78759 105012 110846 157518 166269 221692 315036 332538 498807 665076 997614 1496421 1995228 2992842 5985684