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5990800 = 245217881
BaseRepresentation
bin10110110110100110010000
3102021100211111
4112312212100
53013201200
6332223104
7101630614
oct26664620
912240744
105990800
113421a82
12200aa94
131319a6a
14b1d344
157d50ba
hex5b6990

5990800 has 60 divisors (see below), whose sum is σ = 15256836. Its totient is φ = 2252800.

The previous prime is 5990779. The next prime is 5990819. The reversal of 5990800 is 80995.

It can be written as a sum of positive squares in 6 ways, for example, as 173056 + 5817744 = 416^2 + 2412^2 .

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 11 ways as a sum of consecutive naturals, for example, 6360 + ... + 7240.

Almost surely, 25990800 is an apocalyptic number.

5990800 is a gapful number since it is divisible by the number (50) 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 5990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628418).

5990800 is an abundant number, since it is smaller than the sum of its proper divisors (9266036).

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

5990800 is a wasteful number, since it uses less digits than its factorization.

5990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 5990800 is about 2447.6110802168. The cubic root of 5990800 is about 181.6191367207.

The spelling of 5990800 in words is "five million, nine hundred ninety thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 881 1360 1700 1762 3400 3524 4405 6800 7048 8810 14096 14977 17620 22025 29954 35240 44050 59908 70480 74885 88100 119816 149770 176200 239632 299540 352400 374425 599080 748850 1198160 1497700 2995400 5990800