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2045800 = 235253193
BaseRepresentation
bin111110011011101101000
310211221022101
413303131220
51010431200
6111503144
723250301
oct7633550
93757271
102045800
111178049
12827ab4
13568243
143b37a8
152a626a
hex1f3768

2045800 has 48 divisors (see below), whose sum is σ = 4871340. Its totient is φ = 798720.

The previous prime is 2045789. The next prime is 2045819. The reversal of 2045800 is 85402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 695556 + 1350244 = 834^2 + 1162^2 .

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 11 ways as a sum of consecutive naturals, for example, 10504 + ... + 10696.

22045800 is an apocalyptic number.

2045800 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 2045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435670).

2045800 is an abundant number, since it is smaller than the sum of its proper divisors (2825540).

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

2045800 is a wasteful number, since it uses less digits than its factorization.

2045800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2045800 is about 1430.3146506975. The cubic root of 2045800 is about 126.9465954393.

The spelling of 2045800 in words is "two million, forty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 193 200 212 265 386 424 530 772 965 1060 1325 1544 1930 2120 2650 3860 4825 5300 7720 9650 10229 10600 19300 20458 38600 40916 51145 81832 102290 204580 255725 409160 511450 1022900 2045800