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990110208 = 2933491847
BaseRepresentation
bin111011000000111…
…110001000000000
32120000001210212110
4323000332020000
54011432011313
6242125255320
733351540453
oct7300761000
92500053773
10990110208
114689894aa
12237704540
1312a186839
14956d549a
155bdcaec3
hex3b03e200

990110208 has 80 divisors (see below), whose sum is σ = 2646705600. Its totient is φ = 328912896.

The previous prime is 990110207. The next prime is 990110227. The reversal of 990110208 is 802011099.

It is not an unprimeable number, because it can be changed into a prime (990110201) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 535141 + ... + 536987.

It is an arithmetic number, because the mean of its divisors is an integer number (33083820).

Almost surely, 2990110208 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 990110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323352800).

990110208 is an abundant number, since it is smaller than the sum of its proper divisors (1656595392).

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

990110208 is a wasteful number, since it uses less digits than its factorization.

990110208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 990110208 is about 31466.0167164514. The cubic root of 990110208 is about 996.6924750062.

The spelling of 990110208 in words is "nine hundred ninety million, one hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 349 384 512 698 768 1047 1396 1536 1847 2094 2792 3694 4188 5541 5584 7388 8376 11082 11168 14776 16752 22164 22336 29552 33504 44328 44672 59104 67008 88656 89344 118208 134016 177312 178688 236416 268032 354624 472832 536064 644603 709248 945664 1289206 1418496 1933809 2578412 2836992 3867618 5156824 7735236 10313648 15470472 20627296 30940944 41254592 61881888 82509184 123763776 165018368 247527552 330036736 495055104 990110208