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10287381 = 3133167127
BaseRepresentation
bin100111001111…
…100100010101
3201100122122010
4213033210111
510113144011
61004254433
7153304236
oct47174425
921318563
1010287381
115897075
123541419
132192610
14151b08d
15d831a6
hex9cf915

10287381 has 32 divisors (see below), whose sum is σ = 15597568. Its totient is φ = 5987520.

The previous prime is 10287359. The next prime is 10287383. The reversal of 10287381 is 18378201.

It is a happy number.

10287381 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10287381 - 25 = 10287349 is a prime.

It is a super-2 number, since 2×102873812 = 211660415678322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287383) 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 31 ways as a sum of consecutive naturals, for example, 80940 + ... + 81066.

It is an arithmetic number, because the mean of its divisors is an integer number (487424).

Almost surely, 210287381 is an apocalyptic number.

It is an amenable number.

10287381 is a deficient number, since it is larger than the sum of its proper divisors (5310187).

10287381 is a wasteful number, since it uses less digits than its factorization.

10287381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10287381 is about 3207.3947371660. The cubic root of 10287381 is about 217.4878206947.

The spelling of 10287381 in words is "ten million, two hundred eighty-seven thousand, three hundred eighty-one".

Divisors: 1 3 13 31 39 67 93 127 201 381 403 871 1209 1651 2077 2613 3937 4953 6231 8509 11811 25527 27001 51181 81003 110617 153543 263779 331851 791337 3429127 10287381