Search a number
-
+
90105318 = 2331668617
BaseRepresentation
bin1010101111011…
…10010111100110
320021112211021000
411113232113212
5141031332233
612535134130
72142611502
oct527562746
9207484230
1090105318
1146953506
1226214346
131588ab74
14bd77302
157d9cd13
hex55ee5e6

90105318 has 16 divisors (see below), whose sum is σ = 200234160. Its totient is φ = 30035088.

The previous prime is 90105307. The next prime is 90105347. The reversal of 90105318 is 81350109.

It is a super-2 number, since 2×901053182 = 16237936663762248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 90105291 and 90105300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834255 + ... + 834362.

It is an arithmetic number, because the mean of its divisors is an integer number (12514635).

Almost surely, 290105318 is an apocalyptic number.

90105318 is an abundant number, since it is smaller than the sum of its proper divisors (110128842).

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

90105318 is a wasteful number, since it uses less digits than its factorization.

90105318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668628 (or 1668622 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 90105318 is about 9492.3821035607. The cubic root of 90105318 is about 448.3152111757.

The spelling of 90105318 in words is "ninety million, one hundred five thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 1668617 3337234 5005851 10011702 15017553 30035106 45052659 90105318