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90283668 = 223171923293
BaseRepresentation
bin1010110000110…
…01111010010100
320021212212220120
411120121322110
5141103034133
612543031540
72144253456
oct530317224
9207785816
1090283668
1146a65502
122629b5b0
13159210b7
14bdc22d6
157dd5ab3
hex5619e94

90283668 has 48 divisors (see below), whose sum is σ = 234803520. Its totient is φ = 26832384.

The previous prime is 90283667. The next prime is 90283679. The reversal of 90283668 is 86638209.

It is a super-2 number, since 2×902836682 = 16302281415068448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90283667) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7771 + ... + 15522.

It is an arithmetic number, because the mean of its divisors is an integer number (4891740).

Almost surely, 290283668 is an apocalyptic number.

It is an amenable number.

90283668 is an abundant number, since it is smaller than the sum of its proper divisors (144519852).

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

90283668 is a wasteful number, since it uses less digits than its factorization.

90283668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23336 (or 23334 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 90283668 is about 9501.7718347685. The cubic root of 90283668 is about 448.6108072008.

It can be divided in two parts, 90283 and 668, that added together give a triangular number (90951 = T426).

The spelling of 90283668 in words is "ninety million, two hundred eighty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 23293 46586 69879 93172 139758 279516 395981 442567 791962 885134 1187943 1327701 1583924 1770268 2375886 2655402 4751772 5310804 7523639 15047278 22570917 30094556 45141834 90283668