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5256360 = 2333531157
BaseRepresentation
bin10100000011010010101000
3100220001101000
4110003102220
52321200420
6304355000
762451444
oct24032250
910801330
105256360
112a701aa
121915a60
131120695
149ab824
156dc690
hex5034a8

5256360 has 128 divisors (see below), whose sum is σ = 18201600. Its totient is φ = 1347840.

The previous prime is 5256359. The next prime is 5256367. The reversal of 5256360 is 636525.

5256360 = T319 + T320 + ... + T399.

5256360 is a `hidden beast` number, since 5 + 25 + 636 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33402 + ... + 33558.

It is an arithmetic number, because the mean of its divisors is an integer number (142200).

Almost surely, 25256360 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 5256360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100800).

5256360 is an abundant number, since it is smaller than the sum of its proper divisors (12945240).

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

5256360 is a wasteful number, since it uses less digits than its factorization.

5256360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5256360 is about 2292.6752931892. The cubic root of 5256360 is about 173.8714865562.

The spelling of 5256360 in words is "five million, two hundred fifty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 157 180 186 216 248 270 279 310 314 360 372 465 471 540 558 620 628 744 785 837 930 942 1080 1116 1240 1256 1395 1413 1570 1674 1860 1884 2232 2355 2790 2826 3140 3348 3720 3768 4185 4239 4710 4867 5580 5652 6280 6696 7065 8370 8478 9420 9734 11160 11304 14130 14601 16740 16956 18840 19468 21195 24335 28260 29202 33480 33912 38936 42390 43803 48670 56520 58404 73005 84780 87606 97340 116808 131409 146010 169560 175212 194680 219015 262818 292020 350424 438030 525636 584040 657045 876060 1051272 1314090 1752120 2628180 5256360