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5256840 = 233571617
BaseRepresentation
bin10100000011011010001000
3100220002000210
4110003122020
52321204330
6304401120
762453031
oct24033210
910802023
105256840
112a705a6
1219161a0
131120974
149aba88
156dc8b0
hex503688

5256840 has 64 divisors (see below), whose sum is σ = 16018560. Its totient is φ = 1379840.

The previous prime is 5256829. The next prime is 5256847. The reversal of 5256840 is 486525.

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

It is a junction number, because it is equal to n+sod(n) for n = 5256798 and 5256807.

It is not an unprimeable number, because it can be changed into a prime (5256847) 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, 8212 + ... + 8828.

It is an arithmetic number, because the mean of its divisors is an integer number (250290).

Almost surely, 25256840 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 5256840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8009280).

5256840 is an abundant number, since it is smaller than the sum of its proper divisors (10761720).

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

5256840 is a wasteful number, since it uses less digits than its factorization.

5256840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5256840 is about 2292.7799719991. The cubic root of 5256840 is about 173.8767789241.

The spelling of 5256840 in words is "five million, two hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 617 710 852 1065 1234 1420 1704 1851 2130 2468 2840 3085 3702 4260 4936 6170 7404 8520 9255 12340 14808 18510 24680 37020 43807 74040 87614 131421 175228 219035 262842 350456 438070 525684 657105 876140 1051368 1314210 1752280 2628420 5256840