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10681812 = 2232417237
BaseRepresentation
bin101000101111…
…110111010100
3202002200200200
4220233313110
510213304222
61020540500
7156536211
oct50576724
922080620
1010681812
116036449
1236b1730
13229cccb
1415c0b08
15e0eeac
hexa2fdd4

10681812 has 36 divisors (see below), whose sum is σ = 27663636. Its totient is φ = 3473280.

The previous prime is 10681793. The next prime is 10681817. The reversal of 10681812 is 21818601.

It can be written as a sum of positive squares in 2 ways, for example, as 3261636 + 7420176 = 1806^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106818122 = 228202215206688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2143 + ... + 5094.

Almost surely, 210681812 is an apocalyptic number.

10681812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10681812 is an abundant number, since it is smaller than the sum of its proper divisors (16981824).

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

10681812 is a wasteful number, since it uses less digits than its factorization.

10681812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7288 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10681812 is about 3268.3041474135. The cubic root of 10681812 is about 220.2326189653.

It can be divided in two parts, 106 and 81812, that added together give a palindrome (81918).

The spelling of 10681812 in words is "ten million, six hundred eighty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 7237 14474 21711 28948 43422 65133 86844 130266 260532 296717 593434 890151 1186868 1780302 2670453 3560604 5340906 10681812