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5684600 = 235243661
BaseRepresentation
bin10101101011110101111000
3101200210210202
4111223311320
52423401400
6321501332
766214115
oct25536570
911623722
105684600
113232a19
121aa1848
13124058c
14a7d90c
157744d5
hex56bd78

5684600 has 48 divisors (see below), whose sum is σ = 13544520. Its totient is φ = 2217600.

The previous prime is 5684593. The next prime is 5684617. The reversal of 5684600 is 64865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8270 + ... + 8930.

Almost surely, 25684600 is an apocalyptic number.

5684600 is a gapful number since it is divisible by the number (50) 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 5684600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772260).

5684600 is an abundant number, since it is smaller than the sum of its proper divisors (7859920).

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

5684600 is a wasteful number, since it uses less digits than its factorization.

5684600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 5684600 is about 2384.2399208133. The cubic root of 5684600 is about 178.4705807714.

The spelling of 5684600 in words is "five million, six hundred eighty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 661 860 1075 1322 1720 2150 2644 3305 4300 5288 6610 8600 13220 16525 26440 28423 33050 56846 66100 113692 132200 142115 227384 284230 568460 710575 1136920 1421150 2842300 5684600