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10287057 = 3112171667
BaseRepresentation
bin100111001111…
…011111010001
3201100122012010
4213033133101
510113141212
61004253133
7153303264
oct47173721
921318163
1010287057
115896900
1235411a9
132192421
14151acdb
15d8303c
hex9cf7d1

10287057 has 24 divisors (see below), whose sum is σ = 15972768. Its totient is φ = 5864320.

The previous prime is 10287047. The next prime is 10287077. The reversal of 10287057 is 75078201.

It is a happy number.

It is not a de Polignac number, because 10287057 - 24 = 10287041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10287047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5338 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (665532).

Almost surely, 210287057 is an apocalyptic number.

10287057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10287057 is a deficient number, since it is larger than the sum of its proper divisors (5685711).

10287057 is a wasteful number, since it uses less digits than its factorization.

10287057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10287057 is about 3207.3442284856. The cubic root of 10287057 is about 217.4855374186.

The spelling of 10287057 in words is "ten million, two hundred eighty-seven thousand, fifty-seven".

Divisors: 1 3 11 17 33 51 121 187 363 561 1667 2057 5001 6171 18337 28339 55011 85017 201707 311729 605121 935187 3429019 10287057