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10206016 = 26159469
BaseRepresentation
bin100110111011…
…101101000000
3201012112000121
4212323231000
510103043031
61002430024
7152515102
oct46735500
921175017
1010206016
115840a27
123502314
132164582
1414d9572
15d69011
hex9bbb40

10206016 has 14 divisors (see below), whose sum is σ = 20252690. Its totient is φ = 5102976.

The previous prime is 10205989. The next prime is 10206019. The reversal of 10206016 is 61060201.

10206016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8526400 + 1679616 = 2920^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 79671 + ... + 79798.

Almost surely, 210206016 is an apocalyptic number.

10206016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10206016 is a deficient number, since it is larger than the sum of its proper divisors (10046674).

10206016 is an equidigital number, since it uses as much as digits as its factorization.

10206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159481 (or 159471 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10206016 is about 3194.6855870336. The cubic root of 10206016 is about 216.9129171275.

Adding to 10206016 its reverse (61060201), we get a palindrome (71266217).

The spelling of 10206016 in words is "ten million, two hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 159469 318938 637876 1275752 2551504 5103008 10206016