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90866664 = 23337193163
BaseRepresentation
bin1010110101010…
…00001111101000
320022222111122000
411122220033220
5141230213124
613003331000
72152232250
oct532501750
9208874560
1090866664
1147323519
1226520a60
1315a96575
14c0d4960
157e9d6c9
hex56a83e8

90866664 has 128 divisors (see below), whose sum is σ = 303744000. Its totient is φ = 24587712.

The previous prime is 90866653. The next prime is 90866707. The reversal of 90866664 is 46666809.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27147 + ... + 30309.

It is an arithmetic number, because the mean of its divisors is an integer number (2373000).

Almost surely, 290866664 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 90866664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151872000).

90866664 is an abundant number, since it is smaller than the sum of its proper divisors (212877336).

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

90866664 is a wasteful number, since it uses less digits than its factorization.

90866664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 90866664 is about 9532.4007469262. The cubic root of 90866664 is about 449.5743530707.

The spelling of 90866664 in words is "ninety million, eight hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3163 3192 3591 4104 4788 6326 7182 9489 9576 12652 14364 18978 22141 25304 28467 28728 37956 44282 56934 60097 66423 75912 85401 88564 113868 120194 132846 170802 177128 180291 199269 227736 240388 265692 341604 360582 398538 420679 480776 531384 540873 597807 683208 721164 797076 841358 1081746 1195614 1262037 1442328 1594152 1622619 1682716 2163492 2391228 2524074 3245238 3365432 3786111 4326984 4782456 5048148 6490476 7572222 10096296 11358333 12980952 15144444 22716666 30288888 45433332 90866664