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10010682 = 2331119887
BaseRepresentation
bin100110001100…
…000000111010
3200211121002000
4212030000322
510030320212
6554321430
7151042443
oct46140072
920747060
1010010682
1157181a0
123429276
1320c66a6
1414882ca
15d2b1dc
hex98c03a

10010682 has 64 divisors (see below), whose sum is σ = 25574400. Its totient is φ = 2870640.

The previous prime is 10010657. The next prime is 10010687. The reversal of 10010682 is 28601001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10010687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10843 + ... + 11729.

It is an arithmetic number, because the mean of its divisors is an integer number (399600).

Almost surely, 210010682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787200).

10010682 is an abundant number, since it is smaller than the sum of its proper divisors (15563718).

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

10010682 is a wasteful number, since it uses less digits than its factorization.

10010682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10010682 is about 3163.9661818673. The cubic root of 10010682 is about 215.5201539426.

Adding to 10010682 its reverse (28601001), we get a palindrome (38611683).

The spelling of 10010682 in words is "ten million, ten thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 887 1026 1254 1774 1881 2661 3762 5322 5643 7983 9757 11286 15966 16853 19514 23949 29271 33706 47898 50559 58542 87813 101118 151677 175626 185383 263439 303354 370766 455031 526878 556149 910062 1112298 1668447 3336894 5005341 10010682