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990200112 = 2431141409
BaseRepresentation
bin111011000001010…
…100000100110000
32120000020101012020
4323001110010300
54011442400422
6242131231440
733352363536
oct7301240460
92500211166
10990200112
11468a40000
12237748580
1312a1b8735
149571a156
155bde795c
hex3b054130

990200112 has 100 divisors (see below), whose sum is σ = 2815798200. Its totient is φ = 299847680.

The previous prime is 990200093. The next prime is 990200119. The reversal of 990200112 is 211002099.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (990200119) 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 19 ways as a sum of consecutive naturals, for example, 702064 + ... + 703472.

It is an arithmetic number, because the mean of its divisors is an integer number (28157982).

Almost surely, 2990200112 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 990200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407899100).

990200112 is an abundant number, since it is smaller than the sum of its proper divisors (1825598088).

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

990200112 is a wasteful number, since it uses less digits than its factorization.

990200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 990200112 is about 31467.4452728530. The cubic root of 990200112 is about 996.7226413209.

It can be divided in two parts, 990 and 200112, that added together give a palindrome (201102).

The spelling of 990200112 in words is "nine hundred ninety million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1409 1452 1936 2662 2818 2904 3993 4227 5324 5636 5808 7986 8454 10648 11272 14641 15499 15972 16908 21296 22544 29282 30998 31944 33816 43923 46497 58564 61996 63888 67632 87846 92994 117128 123992 170489 175692 185988 234256 247984 340978 351384 371976 511467 681956 702768 743952 1022934 1363912 1875379 2045868 2727824 3750758 4091736 5626137 7501516 8183472 11252274 15003032 20629169 22504548 30006064 41258338 45009096 61887507 82516676 90018192 123775014 165033352 247550028 330066704 495100056 990200112