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5257080 = 2332517859
BaseRepresentation
bin10100000011011101111000
3100220002100200
4110003131320
52321211310
6304402200
762453523
oct24033570
910802320
105257080
112a707a4
121916360
131120aca
149abbba
156dc9c0
hex503778

5257080 has 96 divisors (see below), whose sum is σ = 18111600. Its totient is φ = 1317888.

The previous prime is 5257079. The next prime is 5257103. The reversal of 5257080 is 807525.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5691 + ... + 6549.

Almost surely, 25257080 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 5257080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055800).

5257080 is an abundant number, since it is smaller than the sum of its proper divisors (12854520).

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

5257080 is a wasteful number, since it uses less digits than its factorization.

5257080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5257080 is about 2292.8323096118. The cubic root of 5257080 is about 173.8794249873.

It can be divided in two parts, 52570 and 80, that added together give a triangular number (52650 = T324).

The spelling of 5257080 in words is "five million, two hundred fifty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 859 1020 1224 1530 1718 2040 2577 3060 3436 4295 5154 6120 6872 7731 8590 10308 12885 14603 15462 17180 20616 25770 29206 30924 34360 38655 43809 51540 58412 61848 73015 77310 87618 103080 116824 131427 146030 154620 175236 219045 262854 292060 309240 350472 438090 525708 584120 657135 876180 1051416 1314270 1752360 2628540 5257080