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990800 = 24522477
BaseRepresentation
bin11110001111001010000
31212100010022
43301321100
5223201200
633123012
711264426
oct3617120
91770108
10990800
11617448
123b9468
13288c95
141bb116
15148885
hexf1e50

990800 has 30 divisors (see below), whose sum is σ = 2381358. Its totient is φ = 396160.

The previous prime is 990799. The next prime is 990809. The reversal of 990800 is 8099.

It is a happy number.

990800 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 3 ways, for example, as 61504 + 929296 = 248^2 + 964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 990800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 839 + ... + 1638.

2990800 is an apocalyptic number.

It is an amenable number.

990800 is an abundant number, since it is smaller than the sum of its proper divisors (1390558).

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

990800 is a wasteful number, since it uses less digits than its factorization.

990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 990800 is about 995.3893710503. The cubic root of 990800 is about 99.6923880525.

Adding to 990800 its reverse (8099), we get a palindrome (998899).

It can be divided in two parts, 9 and 90800, that added together give a palindrome (90809).

The spelling of 990800 in words is "nine hundred ninety thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2477 4954 9908 12385 19816 24770 39632 49540 61925 99080 123850 198160 247700 495400 990800