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990216 = 233217809
BaseRepresentation
bin11110001110000001000
31212022022200
43301300020
5223141331
633120200
711262633
oct3616010
91768280
10990216
11616a67
123b9060
13288936
141bac1a
151485e6
hexf1c08

990216 has 48 divisors (see below), whose sum is σ = 2843100. Its totient is φ = 310272.

The previous prime is 990211. The next prime is 990239. The reversal of 990216 is 612099.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 864900 + 125316 = 930^2 + 354^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 990216.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 990216.

It is not an unprimeable number, because it can be changed into a prime (990211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820 + ... + 1628.

2990216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421550).

990216 is an abundant number, since it is smaller than the sum of its proper divisors (1852884).

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

990216 is a wasteful number, since it uses less digits than its factorization.

990216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 990216 is about 995.0959752707. The cubic root of 990216 is about 99.6727972178.

The spelling of 990216 in words is "nine hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 809 1224 1618 2427 3236 4854 6472 7281 9708 13753 14562 19416 27506 29124 41259 55012 58248 82518 110024 123777 165036 247554 330072 495108 990216