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990206928 = 243239717321
BaseRepresentation
bin111011000001010…
…101101111010000
32120000020201112200
4323001111233100
54011443110203
6242131323200
733352422444
oct7301255720
92500221480
10990206928
11468a45137
12237750500
1312a1bb879
149571c824
155bde99a3
hex3b055bd0

990206928 has 60 divisors (see below), whose sum is σ = 2778344868. Its totient is φ = 329218560.

The previous prime is 990206923. The next prime is 990206941. The reversal of 990206928 is 829602099.

990206928 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 2 ways, for example, as 467078544 + 523128384 = 21612^2 + 22872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990206923) 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, 48508 + ... + 65828.

Almost surely, 2990206928 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 990206928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389172434).

990206928 is an abundant number, since it is smaller than the sum of its proper divisors (1788137940).

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

990206928 is a wasteful number, since it uses less digits than its factorization.

990206928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17732 (or 17723 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 990206928 is about 31467.5535750716. The cubic root of 990206928 is about 996.7249282815.

The spelling of 990206928 in words is "nine hundred ninety million, two hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 397 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 14292 17321 19056 28584 34642 51963 57168 69284 103926 138568 155889 207852 277136 311778 415704 623556 831408 1247112 2494224 6876437 13752874 20629311 27505748 41258622 55011496 61887933 82517244 110022992 123775866 165034488 247551732 330068976 495103464 990206928