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10087649 = 1141353
BaseRepresentation
bin100110011110…
…110011100001
3200222111122122
4212132303201
510040301044
61000114025
7151513025
oct46366341
920874578
1010087649
115770000
123465915
132122730
1414a8385
15d43dee
hex99ece1

10087649 has 20 divisors (see below), whose sum is σ = 12175380. Its totient is φ = 8305440.

The previous prime is 10087633. The next prime is 10087661. The reversal of 10087649 is 94678001.

It can be written as a sum of positive squares in 2 ways, for example, as 4231249 + 5856400 = 2057^2 + 2420^2 .

It is not a de Polignac number, because 10087649 - 24 = 10087633 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087669) 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 19 ways as a sum of consecutive naturals, for example, 190307 + ... + 190359.

It is an arithmetic number, because the mean of its divisors is an integer number (608769).

Almost surely, 210087649 is an apocalyptic number.

It is an amenable number.

10087649 is a deficient number, since it is larger than the sum of its proper divisors (2087731).

10087649 is an frugal number, since it uses more digits than its factorization.

10087649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10087649 is about 3176.1059491144. The cubic root of 10087649 is about 216.0710857137.

The spelling of 10087649 in words is "ten million, eighty-seven thousand, six hundred forty-nine".

Divisors: 1 11 13 53 121 143 583 689 1331 1573 6413 7579 14641 17303 70543 83369 190333 775973 917059 10087649