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5255120 = 2451331163
BaseRepresentation
bin10100000010111111010000
3100212222200002
4110002333100
52321130440
6304345132
762445023
oct24027720
910788602
105255120
112a6a282
1219151a8
13111cc50
149ab1ba
156dc115
hex502fd0

5255120 has 80 divisors (see below), whose sum is σ = 13665792. Its totient is φ = 1866240.

The previous prime is 5255113. The next prime is 5255123. The reversal of 5255120 is 215525.

5255120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 5255092 and 5255101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5255123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32159 + ... + 32321.

Almost surely, 25255120 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 5255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832896).

5255120 is an abundant number, since it is smaller than the sum of its proper divisors (8410672).

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

5255120 is a wasteful number, since it uses less digits than its factorization.

5255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 5255120 is about 2292.4048508062. The cubic root of 5255120 is about 173.8578131143.

The spelling of 5255120 in words is "five million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 163 208 248 260 310 326 403 496 520 620 652 806 815 1040 1240 1304 1612 1630 2015 2119 2480 2608 3224 3260 4030 4238 5053 6448 6520 8060 8476 10106 10595 13040 16120 16952 20212 21190 25265 32240 33904 40424 42380 50530 65689 80848 84760 101060 131378 169520 202120 262756 328445 404240 525512 656890 1051024 1313780 2627560 5255120