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2553160 = 235293171
BaseRepresentation
bin1001101111010101001000
311210201021111
421233111020
51123200120
6130420104
730462421
oct11572510
94721244
102553160
111494255
12a31634
136b515c
144a6648
1535675a
hex26f548

2553160 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 940800.

The previous prime is 2553157. The next prime is 2553203. The reversal of 2553160 is 613552.

It is a happy number.

2553160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam 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 15 ways as a sum of consecutive naturals, for example, 35925 + ... + 35995.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22553160 is an apocalyptic number.

2553160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2553160 is an abundant number, since it is smaller than the sum of its proper divisors (3667640).

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

2553160 is a wasteful number, since it uses less digits than its factorization.

2553160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2553160 is about 1597.8610703062. The cubic root of 2553160 is about 136.6761312766.

The spelling of 2553160 in words is "two million, five hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 71 116 124 142 145 155 232 248 284 290 310 355 568 580 620 710 899 1160 1240 1420 1798 2059 2201 2840 3596 4118 4402 4495 7192 8236 8804 8990 10295 11005 16472 17608 17980 20590 22010 35960 41180 44020 63829 82360 88040 127658 255316 319145 510632 638290 1276580 2553160