Search a number
-
+
105246990 = 23251169411
BaseRepresentation
bin1100100010111…
…11000100001110
321100001002201200
412101133010032
5203420400430
614235450330
72415404352
oct621370416
9240032650
10105246990
1154455692
122b2b69a6
1318a5cb34
14dd99462
15938e460
hex645f10e

105246990 has 24 divisors (see below), whose sum is σ = 273642408. Its totient is φ = 28065840.

The previous prime is 105246989. The next prime is 105247001. The reversal of 105246990 is 99642501.

105246990 is a `hidden beast` number, since 105 + 2 + 469 + 90 = 666.

It is a super-2 number, since 2×1052469902 = 22153857808120200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 584616 + ... + 584795.

It is an arithmetic number, because the mean of its divisors is an integer number (11401767).

Almost surely, 2105246990 is an apocalyptic number.

105246990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105246990 is an abundant number, since it is smaller than the sum of its proper divisors (168395418).

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

105246990 is a wasteful number, since it uses less digits than its factorization.

105246990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169424 (or 1169421 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105246990 is about 10258.9955648689. The cubic root of 105246990 is about 472.1390205022.

The spelling of 105246990 in words is "one hundred five million, two hundred forty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1169411 2338822 3508233 5847055 7016466 10524699 11694110 17541165 21049398 35082330 52623495 105246990