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107426682 = 23311223811
BaseRepresentation
bin1100110011100…
…11001101111010
321111010211201000
412121303031322
5210000123212
614354305430
72443053216
oct631631572
9244124630
10107426682
1155704290
122bb88276
1319343cac
14103a5946
1596701dc
hex667337a

107426682 has 64 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 32367600.

The previous prime is 107426659. The next prime is 107426699. The reversal of 107426682 is 286624701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132057 + ... + 132867.

It is an arithmetic number, because the mean of its divisors is an integer number (4092480).

Almost surely, 2107426682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107426682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130959360).

107426682 is an abundant number, since it is smaller than the sum of its proper divisors (154492038).

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

107426682 is a wasteful number, since it uses less digits than its factorization.

107426682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 107426682 is about 10364.6843656717. The cubic root of 107426682 is about 475.3761482210.

It can be divided in two parts, 10742 and 6682, that added together give a square (17424 = 1322).

The spelling of 107426682 in words is "one hundred seven million, four hundred twenty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 223 297 446 594 669 811 1338 1622 2007 2433 2453 4014 4866 4906 6021 7299 7359 8921 12042 14598 14718 17842 21897 22077 26763 43794 44154 53526 66231 80289 132462 160578 180853 240867 361706 481734 542559 1085118 1627677 1989383 3255354 3978766 4883031 5968149 9766062 11936298 17904447 35808894 53713341 107426682