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10681461 = 327253457
BaseRepresentation
bin101000101111…
…110001110101
3202002200012200
4220233301311
510213301321
61020535113
7156535200
oct50576165
922080180
1010681461
11603615a
1236b1499
13229cabb
1415c0937
15e0ed26
hexa2fc75

10681461 has 36 divisors (see below), whose sum is σ = 18326412. Its totient is φ = 5975424.

The previous prime is 10681459. The next prime is 10681471. The reversal of 10681461 is 16418601.

It can be written as a sum of positive squares in 2 ways, for example, as 8520561 + 2160900 = 2919^2 + 1470^2 .

It is not a de Polignac number, because 10681461 - 21 = 10681459 is a prime.

It is a super-2 number, since 2×106814612 = 228187218189042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23145 + ... + 23601.

It is an arithmetic number, because the mean of its divisors is an integer number (509067).

Almost surely, 210681461 is an apocalyptic number.

It is an amenable number.

10681461 is a deficient number, since it is larger than the sum of its proper divisors (7644951).

10681461 is a wasteful number, since it uses less digits than its factorization.

10681461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

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

The square root of 10681461 is about 3268.2504493995. The cubic root of 10681461 is about 220.2302066875.

The spelling of 10681461 in words is "ten million, six hundred eighty-one thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 457 477 1113 1371 2597 3199 3339 4113 7791 9597 22393 23373 24221 28791 67179 72663 169547 201537 217989 508641 1186829 1525923 3560487 10681461