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5684160 = 263531191
BaseRepresentation
bin10101101011101111000000
3101200210012110
4111223233000
52423343120
6321455320
766212616
oct25535700
911623173
105684160
113232659
121aa1540
131240311
14a7d6b6
157742e0
hex56bbc0

5684160 has 112 divisors (see below), whose sum is σ = 18726912. Its totient is φ = 1459200.

The previous prime is 5684149. The next prime is 5684167. The reversal of 5684160 is 614865.

5684160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5684167) 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, 29665 + ... + 29855.

Almost surely, 25684160 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 5684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363456).

5684160 is an abundant number, since it is smaller than the sum of its proper divisors (13042752).

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

5684160 is a wasteful number, since it uses less digits than its factorization.

5684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5684160 is about 2384.1476464347. The cubic root of 5684160 is about 178.4659759865.

The spelling of 5684160 in words is "five million, six hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 191 192 240 248 310 320 372 382 465 480 496 573 620 744 764 930 955 960 992 1146 1240 1488 1528 1860 1910 1984 2292 2480 2865 2976 3056 3720 3820 4584 4960 5730 5921 5952 6112 7440 7640 9168 9920 11460 11842 12224 14880 15280 17763 18336 22920 23684 29605 29760 30560 35526 36672 45840 47368 59210 61120 71052 88815 91680 94736 118420 142104 177630 183360 189472 236840 284208 355260 378944 473680 568416 710520 947360 1136832 1421040 1894720 2842080 5684160