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1040689 = 13172277
BaseRepresentation
bin11111110000100110001
31221212120001
43332010301
5231300224
634150001
711563036
oct3760461
91855501
101040689
11650981
12422301
132a58c0
141d138d
15158544
hexfe131

1040689 has 12 divisors (see below), whose sum is σ = 1194844. Its totient is φ = 900864.

The previous prime is 1040671. The next prime is 1040717. The reversal of 1040689 is 9860401.

It can be written as a sum of positive squares in 6 ways, for example, as 6400 + 1034289 = 80^2 + 1017^2 .

It is not a de Polignac number, because 1040689 - 25 = 1040657 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3619 + ... + 3895.

21040689 is an apocalyptic number.

It is an amenable number.

1040689 is a deficient number, since it is larger than the sum of its proper divisors (154155).

1040689 is a wasteful number, since it uses less digits than its factorization.

1040689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1040689 is about 1020.1416568301. The cubic root of 1040689 is about 101.3383093798.

Subtracting from 1040689 its product of nonzero digits (1728), we obtain a triangular number (1038961 = T1441).

The spelling of 1040689 in words is "one million, forty thousand, six hundred eighty-nine".

Divisors: 1 13 17 221 277 289 3601 3757 4709 61217 80053 1040689