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5255760 = 243561359
BaseRepresentation
bin10100000011001001010000
3100220000112210
4110003021100
52321141020
6304352120
762446626
oct24031120
910800483
105255760
112a6a804
121915640
131120323
149ab516
156dc3e0
hex503250

5255760 has 80 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 1374720.

The previous prime is 5255741. The next prime is 5255773. The reversal of 5255760 is 675525.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14461 + ... + 14819.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 25255760 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 5255760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

5255760 is an abundant number, since it is smaller than the sum of its proper divisors (11350320).

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

5255760 is a wasteful number, since it uses less digits than its factorization.

5255760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 5255760 is about 2292.5444379553. The cubic root of 5255760 is about 173.8648706432.

The spelling of 5255760 in words is "five million, two hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 359 366 488 610 718 732 915 976 1077 1220 1436 1464 1795 1830 2154 2440 2872 2928 3590 3660 4308 4880 5385 5744 7180 7320 8616 10770 14360 14640 17232 21540 21899 28720 43080 43798 65697 86160 87596 109495 131394 175192 218990 262788 328485 350384 437980 525576 656970 875960 1051152 1313940 1751920 2627880 5255760