Search a number
-
+
5718120 = 2335172803
BaseRepresentation
bin10101110100000001101000
3101202111210020
4111310001220
52430434440
6322320440
766413622
oct25640150
911674706
105718120
113256121
121ab9120
131252905
14a8bc12
1577e3d0
hex574068

5718120 has 64 divisors (see below), whose sum is σ = 18169920. Its totient is φ = 1434624.

The previous prime is 5718113. The next prime is 5718121. The reversal of 5718120 is 218175.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5718121) 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, 639 + ... + 3441.

It is an arithmetic number, because the mean of its divisors is an integer number (283905).

Almost surely, 25718120 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 5718120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9084960).

5718120 is an abundant number, since it is smaller than the sum of its proper divisors (12451800).

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

5718120 is a wasteful number, since it uses less digits than its factorization.

5718120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 5718120 is about 2391.2590825755. The cubic root of 5718120 is about 178.8206853636.

Subtracting from 5718120 its reverse (218175), we obtain a palindrome (5499945).

The spelling of 5718120 in words is "five million, seven hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2803 5606 8409 11212 14015 16818 22424 28030 33636 42045 47651 56060 67272 84090 95302 112120 142953 168180 190604 238255 285906 336360 381208 476510 571812 714765 953020 1143624 1429530 1906040 2859060 5718120