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10287004 = 2271359479
BaseRepresentation
bin100111001111…
…011110011100
3201100122010011
4213033132130
510113141004
61004253004
7153303160
oct47173634
921318104
1010287004
115896862
123541164
1321923b0
14151aca0
15d83004
hex9cf79c

10287004 has 48 divisors (see below), whose sum is σ = 22579200. Its totient is φ = 3992256.

The previous prime is 10287001. The next prime is 10287029. The reversal of 10287004 is 40078201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21237 + ... + 21715.

It is an arithmetic number, because the mean of its divisors is an integer number (470400).

Almost surely, 210287004 is an apocalyptic number.

10287004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10287004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289600).

10287004 is an abundant number, since it is smaller than the sum of its proper divisors (12292196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10287004 is a wasteful number, since it uses less digits than its factorization.

10287004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10287004 is about 3207.3359661875. The cubic root of 10287004 is about 217.4851639151.

The spelling of 10287004 in words is "ten million, two hundred eighty-seven thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 182 236 364 413 479 767 826 958 1534 1652 1916 3068 3353 5369 6227 6706 10738 12454 13412 21476 24908 28261 43589 56522 87178 113044 174356 197827 367393 395654 734786 791308 1469572 2571751 5143502 10287004