Search a number
-
+
2555600 = 24526389
BaseRepresentation
bin1001101111111011010000
311210211121212
421233323100
51123234400
6130435252
730502505
oct11577320
94724555
102555600
111496073
12a32b28
136b62b8
144a74ac
15357335
hex26fed0

2555600 has 30 divisors (see below), whose sum is σ = 6140790. Its totient is φ = 1022080.

The previous prime is 2555591. The next prime is 2555617. The reversal of 2555600 is 65552.

2555600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 33856 + 2521744 = 184^2 + 1588^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2795 + ... + 3594.

It is an arithmetic number, because the mean of its divisors is an integer number (204693).

22555600 is an apocalyptic number.

2555600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2555600 is an abundant number, since it is smaller than the sum of its proper divisors (3585190).

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

2555600 is a wasteful number, since it uses less digits than its factorization.

2555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 2555600 is about 1598.6244086714. The cubic root of 2555600 is about 136.7196568919.

The spelling of 2555600 in words is "two million, five hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6389 12778 25556 31945 51112 63890 102224 127780 159725 255560 319450 511120 638900 1277800 2555600