Search a number
-
+
90685668 = 22329377043
BaseRepresentation
bin1010110011111…
…00000011100100
320022122022100110
411121330003210
5141203420133
612555413020
72150546463
oct531740344
9208568313
1090685668
114720a537
1226454170
1315a32078
14c0889da
157e64c63
hex567c0e4

90685668 has 48 divisors (see below), whose sum is σ = 224844480. Its totient is φ = 28393344.

The previous prime is 90685663. The next prime is 90685691. The reversal of 90685668 is 86658609.

It is not an unprimeable number, because it can be changed into a prime (90685663) 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, 9355 + ... + 16397.

It is an arithmetic number, because the mean of its divisors is an integer number (4684260).

Almost surely, 290685668 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 90685668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112422240).

90685668 is an abundant number, since it is smaller than the sum of its proper divisors (134158812).

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

90685668 is a wasteful number, since it uses less digits than its factorization.

90685668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 90685668 is about 9522.9022886933. The cubic root of 90685668 is about 449.2756544309.

The spelling of 90685668 in words is "ninety million, six hundred eighty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 3219 4292 6438 7043 12876 14086 21129 28172 42258 84516 204247 260591 408494 521182 612741 781773 816988 1042364 1225482 1563546 2450964 3127092 7557139 15114278 22671417 30228556 45342834 90685668