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10016689 = 173183229
BaseRepresentation
bin100110001101…
…011110110001
3200211220022111
4212031132301
510031013224
6554405321
7151066114
oct46153661
920756274
1010016689
115721761
123430841
1320c9347
14148a57b
15d2cd94
hex98d7b1

10016689 has 16 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 8974080.

The previous prime is 10016681. The next prime is 10016693. The reversal of 10016689 is 98661001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10016689 - 23 = 10016681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10016689.

It is not an unprimeable number, because it can be changed into a prime (10016681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43627 + ... + 43855.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 210016689 is an apocalyptic number.

It is an amenable number.

10016689 is a deficient number, since it is larger than the sum of its proper divisors (1111631).

10016689 is a wasteful number, since it uses less digits than its factorization.

10016689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 10016689 is about 3164.9153227219. The cubic root of 10016689 is about 215.5632535935.

The spelling of 10016689 in words is "ten million, sixteen thousand, six hundred eighty-nine".

Divisors: 1 17 31 83 229 527 1411 2573 3893 7099 19007 43741 120683 323119 589217 10016689