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990233766 = 232233796311
BaseRepresentation
bin111011000001011…
…100010010100110
32120000022002100200
4323001130102212
54011444440031
6242132051330
733352563624
oct7301342246
92500262320
10990233766
11468a63315
12237763b46
1312a1cab52
1495728514
155be028e6
hex3b05c4a6

990233766 has 48 divisors (see below), whose sum is σ = 2245052160. Its totient is φ = 314843760.

The previous prime is 990233759. The next prime is 990233779. The reversal of 990233766 is 667332099.

It is a super-2 number, since 2×9902337662 = 1961125822653085512, which contains 22 as substring.

990233766 is a modest number, since divided by 233766 gives 990 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153751 + ... + 160061.

It is an arithmetic number, because the mean of its divisors is an integer number (46771920).

Almost surely, 2990233766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990233766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122526080).

990233766 is an abundant number, since it is smaller than the sum of its proper divisors (1254818394).

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

990233766 is a wasteful number, since it uses less digits than its factorization.

990233766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 990233766 is about 31467.9800114338. The cubic root of 990233766 is about 996.7339330868.

The spelling of 990233766 in words is "nine hundred ninety million, two hundred thirty-three thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 379 414 758 1137 2274 3411 6311 6822 8717 12622 17434 18933 26151 37866 52302 56799 78453 113598 145153 156906 290306 435459 870918 1306377 2391869 2612754 4783738 7175607 14351214 21526821 43053642 55012987 110025974 165038961 330077922 495116883 990233766