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105024486 = 23723229163
BaseRepresentation
bin1100100001010…
…00101111100110
321022121210111210
412100220233212
5203341240421
614231012250
72413456560
oct620505746
9238553453
10105024486
11543134a6
122b20a086
13189b2788
14dd3c330
159348576
hex6428be6

105024486 has 96 divisors (see below), whose sum is σ = 261192960. Its totient is φ = 27542592.

The previous prime is 105024433. The next prime is 105024503. The reversal of 105024486 is 684420501.

It is a super-2 number, since 2×1050244862 = 22060285319128392, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 644241 + ... + 644403.

It is an arithmetic number, because the mean of its divisors is an integer number (2720760).

Almost surely, 2105024486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105024486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130596480).

105024486 is an abundant number, since it is smaller than the sum of its proper divisors (156168474).

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

105024486 is a wasteful number, since it uses less digits than its factorization.

105024486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105024486 is about 10248.1454907705. The cubic root of 105024486 is about 471.8060673892.

Adding to 105024486 its reverse (684420501), we get a palindrome (789444987).

The spelling of 105024486 in words is "one hundred five million, twenty-four thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 163 174 203 322 326 406 483 489 529 609 667 966 978 1058 1141 1218 1334 1587 2001 2282 3174 3423 3703 3749 4002 4669 4727 6846 7406 7498 9338 9454 11109 11247 14007 14181 15341 22218 22494 26243 28014 28362 30682 33089 46023 52486 66178 78729 86227 92046 99267 107387 108721 157458 172454 198534 214774 217442 258681 322161 326163 517362 603589 644322 652326 761047 1207178 1522094 1810767 2283141 2500583 3621534 4566282 5001166 7501749 15003498 17504081 35008162 52512243 105024486