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10642986 = 2321734781
BaseRepresentation
bin101000100110…
…011000101010
3202000201102200
4220212120222
510211033421
61020041030
7156315054
oct50463052
922021380
1010642986
11600a262
123693176
132288433
1415b08d4
15e03726
hexa2662a

10642986 has 24 divisors (see below), whose sum is σ = 24416964. Its totient is φ = 3338880.

The previous prime is 10642963. The next prime is 10642987. The reversal of 10642986 is 68924601.

10642986 is a `hidden beast` number, since 1 + 0 + 642 + 9 + 8 + 6 = 666.

10642986 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 10595025 + 47961 = 3255^2 + 219^2 .

It is a super-2 number, since 2×106429862 = 226546301992392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10642986.

It is not an unprimeable number, because it can be changed into a prime (10642987) 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, 17085 + ... + 17696.

Almost surely, 210642986 is an apocalyptic number.

10642986 is an abundant number, since it is smaller than the sum of its proper divisors (13773978).

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

10642986 is a wasteful number, since it uses less digits than its factorization.

10642986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34806 (or 34803 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10642986 is about 3262.3589624687. The cubic root of 10642986 is about 219.9654628980.

It can be divided in two parts, 10642 and 986, that added together give a triangular number (11628 = T152).

The spelling of 10642986 in words is "ten million, six hundred forty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 34781 69562 104343 208686 313029 591277 626058 1182554 1773831 3547662 5321493 10642986