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10287660 = 2235315531
BaseRepresentation
bin100111001111…
…101000101100
3201100200000110
4213033220230
510113201120
61004300020
7153305115
oct47175054
921320013
1010287660
1158972a9
123541610
132192796
14151b20c
15d832e0
hex9cfa2c

10287660 has 48 divisors (see below), whose sum is σ = 29740032. Its totient is φ = 2654400.

The previous prime is 10287643. The next prime is 10287661. The reversal of 10287660 is 6678201.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10287661) 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 15 ways as a sum of consecutive naturals, for example, 906 + ... + 4625.

It is an arithmetic number, because the mean of its divisors is an integer number (619584).

Almost surely, 210287660 is an apocalyptic number.

10287660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10287660 is an abundant number, since it is smaller than the sum of its proper divisors (19452372).

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

10287660 is a wasteful number, since it uses less digits than its factorization.

10287660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10287660 is about 3207.4382301145. The cubic root of 10287660 is about 217.4897868107.

The spelling of 10287660 in words is "ten million, two hundred eighty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 5531 11062 16593 22124 27655 33186 55310 66372 82965 110620 165930 171461 331860 342922 514383 685844 857305 1028766 1714610 2057532 2571915 3429220 5143830 10287660