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5685120 = 27335747
BaseRepresentation
bin10101101011111110000000
3101200211112000
4111223332000
52423410440
6321504000
766215460
oct25537600
911624460
105685120
113233351
121aa2000
13124089c
14a7dba0
15774730
hex56bf80

5685120 has 256 divisors, whose sum is σ = 23500800. Its totient is φ = 1271808.

The previous prime is 5685103. The next prime is 5685137. The reversal of 5685120 is 215865.

5685120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5685103) and next prime (5685137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120937 + ... + 120983.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 25685120 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 5685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

5685120 is an abundant number, since it is smaller than the sum of its proper divisors (17815680).

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

5685120 is a wasteful number, since it uses less digits than its factorization.

5685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5685120 is about 2384.3489677478. The cubic root of 5685120 is about 178.4760224837.

The spelling of 5685120 in words is "five million, six hundred eighty-five thousand, one hundred twenty".