Search a number
-
+
10680318 = 232111719167
BaseRepresentation
bin101000101111…
…011111111110
3202002121122100
4220233133332
510213232233
61020525530
7156531645
oct50573776
922077570
1010680318
116035310
1236b08a6
13229c41c
1415c035c
15e0e813
hexa2f7fe

10680318 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2868480.

The previous prime is 10680311. The next prime is 10680353. The reversal of 10680318 is 81308601.

It is a super-2 number, since 2×106803182 = 228138385162248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10680291 and 10680300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 63871 + ... + 64037.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 210680318 is an apocalyptic number.

10680318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

10680318 is an abundant number, since it is smaller than the sum of its proper divisors (17624322).

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

10680318 is a wasteful number, since it uses less digits than its factorization.

10680318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10680318 is about 3268.0755805214. The cubic root of 10680318 is about 220.2223509548. Note that the first 3 decimals are identical.

Adding to 10680318 its reverse (81308601), we get a palindrome (91988919).

The spelling of 10680318 in words is "ten million, six hundred eighty thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 17 18 19 22 33 34 38 51 57 66 99 102 114 153 167 171 187 198 209 306 323 334 342 374 418 501 561 627 646 969 1002 1122 1254 1503 1683 1837 1881 1938 2839 2907 3006 3173 3366 3553 3674 3762 5511 5678 5814 6346 7106 8517 9519 10659 11022 16533 17034 19038 21318 25551 28557 31229 31977 33066 34903 51102 53941 57114 62458 63954 69806 93687 104709 107882 161823 187374 209418 281061 314127 323646 485469 562122 593351 628254 970938 1186702 1780053 3560106 5340159 10680318