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5756840 = 235433347
BaseRepresentation
bin10101111101011110101000
3101211110220022
4111331132220
52433204330
6323220012
766634535
oct25753650
911743808
105756840
113282221
121b17608
13126741b
14a9bd8c
1578aae5
hex57d7a8

5756840 has 32 divisors (see below), whose sum is σ = 13258080. Its totient is φ = 2248512.

The previous prime is 5756837. The next prime is 5756843. The reversal of 5756840 is 486575.

It is an interprime number because it is at equal distance from previous prime (5756837) and next prime (5756843).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5756840.

It is not an unprimeable number, because it can be changed into a prime (5756843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (414315).

Almost surely, 25756840 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 5756840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629040).

5756840 is an abundant number, since it is smaller than the sum of its proper divisors (7501240).

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

5756840 is a wasteful number, since it uses less digits than its factorization.

5756840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 5756840 is about 2399.3415763496. The cubic root of 5756840 is about 179.2234032200.

The spelling of 5756840 in words is "five million, seven hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 3347 6694 13388 16735 26776 33470 66940 133880 143921 287842 575684 719605 1151368 1439210 2878420 5756840