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5715684 = 2234132359
BaseRepresentation
bin10101110011011011100100
3101202101110000
4111303123210
52430400214
6322301300
766403542
oct25633344
911671400
105715684
113254307
121ab7830
131251780
14a8ad92
1577d809
hex5736e4

5715684 has 120 divisors (see below), whose sum is σ = 17075520. Its totient is φ = 1653696.

The previous prime is 5715683. The next prime is 5715701. The reversal of 5715684 is 4865175.

5715684 is a `hidden beast` number, since 571 + 5 + 6 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (33600) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5715683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96847 + ... + 96905.

It is an arithmetic number, because the mean of its divisors is an integer number (142296).

Almost surely, 25715684 is an apocalyptic number.

5715684 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 5715684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537760).

5715684 is an abundant number, since it is smaller than the sum of its proper divisors (11359836).

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

5715684 is a wasteful number, since it uses less digits than its factorization.

5715684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 5715684 is about 2390.7496732197. The cubic root of 5715684 is about 178.7952883764.

The spelling of 5715684 in words is "five million, seven hundred fifteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 59 69 78 81 92 108 117 118 138 156 162 177 207 234 236 276 299 324 351 354 414 468 531 598 621 702 708 767 828 897 1053 1062 1196 1242 1357 1404 1534 1593 1794 1863 2106 2124 2301 2484 2691 2714 3068 3186 3588 3726 4071 4212 4602 4779 5382 5428 6372 6903 7452 8073 8142 9204 9558 10764 12213 13806 16146 16284 17641 19116 20709 24219 24426 27612 32292 35282 36639 41418 48438 48852 52923 62127 70564 73278 82836 96876 105846 109917 124254 146556 158769 211692 219834 248508 317538 439668 476307 635076 952614 1428921 1905228 2857842 5715684