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10681363 = 731119149
BaseRepresentation
bin101000101111…
…110000010011
3202002200002001
4220233300103
510213300423
61020534431
7156535000
oct50576023
922080061
1010681363
116036080
1236b1417
13229ca44
1415c08a7
15e0ecad
hexa2fc13

10681363 has 32 divisors (see below), whose sum is σ = 14400000. Its totient is φ = 7832160.

The previous prime is 10681343. The next prime is 10681369. The reversal of 10681363 is 36318601.

10681363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10681363 - 25 = 10681331 is a prime.

It is a super-2 number, since 2×106813632 = 228183031075538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681369) 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, 71613 + ... + 71761.

It is an arithmetic number, because the mean of its divisors is an integer number (450000).

Almost surely, 210681363 is an apocalyptic number.

10681363 is a deficient number, since it is larger than the sum of its proper divisors (3718637).

10681363 is a wasteful number, since it uses less digits than its factorization.

10681363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 10681363 is about 3268.2354566341. The cubic root of 10681363 is about 220.2295331646.

Adding to 10681363 its reverse (36318601), we get a palindrome (46999964).

The spelling of 10681363 in words is "ten million, six hundred eighty-one thousand, three hundred sixty-three".

Divisors: 1 7 11 19 49 77 133 149 209 343 539 931 1043 1463 1639 2831 3773 6517 7301 10241 11473 19817 31141 51107 71687 80311 138719 217987 562177 971033 1525909 10681363