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5256090 = 23657103
BaseRepresentation
bin10100000011001110011010
3100220001000000
4110003032122
52321143330
6304353430
762450610
oct24031632
910801000
105256090
112a6aa84
121915876
131120518
149ab6b0
156dc560
hex50339a

5256090 has 112 divisors (see below), whose sum is σ = 16368768. Its totient is φ = 1189728.

The previous prime is 5256071. The next prime is 5256131. The reversal of 5256090 is 906525.

5256090 = 1202 + 1212 + ... + 2592.

5256090 is a `hidden beast` number, since 52 + 5 + 609 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50979 + ... + 51081.

Almost surely, 25256090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5256090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184384).

5256090 is an abundant number, since it is smaller than the sum of its proper divisors (11112678).

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

5256090 is a wasteful number, since it uses less digits than its factorization.

5256090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5256090 is about 2292.6164092582. The cubic root of 5256090 is about 173.8685094576.

It can be divided in two parts, 52560 and 90, that added together give a triangular number (52650 = T324).

The spelling of 5256090 in words is "five million, two hundred fifty-six thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 103 105 126 135 162 189 206 210 243 270 309 315 378 405 486 515 567 618 630 721 729 810 927 945 1030 1134 1215 1442 1458 1545 1701 1854 1890 2163 2430 2781 2835 3090 3402 3605 3645 4326 4635 5103 5562 5670 6489 7210 7290 8343 8505 9270 10206 10815 12978 13905 16686 17010 19467 21630 25029 25515 27810 32445 38934 41715 50058 51030 58401 64890 75087 83430 97335 116802 125145 150174 175203 194670 250290 292005 350406 375435 525609 584010 750870 876015 1051218 1752030 2628045 5256090