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10681729 = 172231607
BaseRepresentation
bin101000101111…
…110110000001
3202002200120121
4220233312001
510213303404
61020540241
7156536032
oct50576601
922080517
1010681729
116036383
1236b1681
13229cc66
1415c0a89
15e0ee54
hexa2fd81

10681729 has 12 divisors (see below), whose sum is σ = 11847744. Its totient is φ = 9610304.

The previous prime is 10681711. The next prime is 10681747. The reversal of 10681729 is 92718601.

It is a happy number.

10681729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10681711) and next prime (10681747).

It is not a de Polignac number, because 10681729 - 29 = 10681217 is a prime.

It is a super-2 number, since 2×106817292 = 228198668858882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10681694 and 10681703.

It is not an unprimeable number, because it can be changed into a prime (10681529) 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, 5844 + ... + 7450.

It is an arithmetic number, because the mean of its divisors is an integer number (987312).

Almost surely, 210681729 is an apocalyptic number.

It is an amenable number.

10681729 is a deficient number, since it is larger than the sum of its proper divisors (1166015).

10681729 is a wasteful number, since it uses less digits than its factorization.

10681729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 10681729 is about 3268.2914496721. The cubic root of 10681729 is about 220.2320485454.

The spelling of 10681729 in words is "ten million, six hundred eighty-one thousand, seven hundred twenty-nine".

Divisors: 1 17 23 289 391 1607 6647 27319 36961 464423 628337 10681729