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990210312 = 233371350377
BaseRepresentation
bin111011000001010…
…110100100001000
32120000020220012000
4323001112210020
54011443212222
6242131351000
733352435350
oct7301264410
92500226160
10990210312
11468a47733
12237752460
1312a1c0280
149571db60
155bdea9ac
hex3b056908

990210312 has 128 divisors (see below), whose sum is σ = 3385401600. Its totient is φ = 261149184.

The previous prime is 990210227. The next prime is 990210323. The reversal of 990210312 is 213012099.

It is a super-2 number, since 2×9902103122 = 1961032923982274688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5533 + ... + 44844.

It is an arithmetic number, because the mean of its divisors is an integer number (26448450).

Almost surely, 2990210312 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 990210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692700800).

990210312 is an abundant number, since it is smaller than the sum of its proper divisors (2395191288).

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

990210312 is a wasteful number, since it uses less digits than its factorization.

990210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50412 (or 50402 counting only the distinct ones).

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

The square root of 990210312 is about 31467.6073446965. The cubic root of 990210312 is about 996.7260637052.

The spelling of 990210312 in words is "nine hundred ninety million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 50377 100754 151131 201508 302262 352639 403016 453393 604524 654901 705278 906786 1057917 1209048 1309802 1360179 1410556 1813572 1964703 2115834 2619604 2720358 2821112 3173751 3627144 3929406 4231668 4584307 5239208 5440716 5894109 6347502 7858812 8463336 9168614 9521253 10881432 11788218 12695004 13752921 15717624 17682327 18337228 19042506 23576436 25390008 27505842 35364654 36674456 38085012 41258763 47152872 55011684 70729308 76170024 82517526 110023368 123776289 141458616 165035052 247552578 330070104 495105156 990210312