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5256240 = 2435112181
BaseRepresentation
bin10100000011010000110000
3100220001012120
4110003100300
52321144430
6304354240
762451213
oct24032060
910801176
105256240
112a70100
121915980
131120602
149ab77a
156dc610
hex503430

5256240 has 120 divisors (see below), whose sum is σ = 18009264. Its totient is φ = 1267200.

The previous prime is 5256239. The next prime is 5256253. The reversal of 5256240 is 426525.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5256240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28950 + ... + 29130.

Almost surely, 25256240 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 5256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004632).

5256240 is an abundant number, since it is smaller than the sum of its proper divisors (12753024).

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

5256240 is a wasteful number, since it uses less digits than its factorization.

5256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5256240 is about 2292.6491227399. The cubic root of 5256240 is about 173.8701634139.

The spelling of 5256240 in words is "five million, two hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 181 220 240 242 264 330 362 363 440 484 528 543 605 660 724 726 880 905 968 1086 1210 1320 1448 1452 1810 1815 1936 1991 2172 2420 2640 2715 2896 2904 3620 3630 3982 4344 4840 5430 5808 5973 7240 7260 7964 8688 9680 9955 10860 11946 14480 14520 15928 19910 21720 21901 23892 29040 29865 31856 39820 43440 43802 47784 59730 65703 79640 87604 95568 109505 119460 131406 159280 175208 219010 238920 262812 328515 350416 438020 477840 525624 657030 876040 1051248 1314060 1752080 2628120 5256240