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2798900 = 2252132153
BaseRepresentation
bin1010101011010100110100
312021012100222
422223110310
51204031100
6135553512
732535026
oct12532464
95235328
102798900
111641945
12b2b898
1376cc70
1452c016
153a4485
hex2ab534

2798900 has 36 divisors (see below), whose sum is σ = 6543852. Its totient is φ = 1032960.

The previous prime is 2798899. The next prime is 2798903. The reversal of 2798900 is 98972.

2798900 is digitally balanced in base 2, 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 6 ways, for example, as 872356 + 1926544 = 934^2 + 1388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 224 + ... + 2376.

22798900 is an apocalyptic number.

2798900 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 2798900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271926).

2798900 is an abundant number, since it is smaller than the sum of its proper divisors (3744952).

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

2798900 is a wasteful number, since it uses less digits than its factorization.

2798900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 2798900 is about 1672.9913329124. The cubic root of 2798900 is about 140.9275150128.

The spelling of 2798900 in words is "two million, seven hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2153 4306 8612 10765 21530 27989 43060 53825 55978 107650 111956 139945 215300 279890 559780 699725 1399450 2798900