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5760414 = 2321147619
BaseRepresentation
bin10101111110010110011110
3101211122210200
4111332112132
52433313124
6323244330
766651132
oct25762636
911748720
105760414
113284980
121b196a6
131268c3a
14a9d3c2
1578bbc9
hex57e59e

5760414 has 48 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1705680.

The previous prime is 5760383. The next prime is 5760427. The reversal of 5760414 is 4140675.

5760414 is a `hidden beast` number, since 57 + 604 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8997 + ... + 9615.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 25760414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

5760414 is an abundant number, since it is smaller than the sum of its proper divisors (8167266).

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

5760414 is a wasteful number, since it uses less digits than its factorization.

5760414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5760414 is about 2400.0862484503. The cubic root of 5760414 is about 179.2604844389.

The spelling of 5760414 in words is "five million, seven hundred sixty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 619 846 1034 1238 1551 1857 3102 3714 4653 5571 6809 9306 11142 13618 20427 29093 40854 58186 61281 87279 122562 174558 261837 320023 523674 640046 960069 1920138 2880207 5760414