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10247985 = 3351167103
BaseRepresentation
bin100111000101…
…111100110001
3201021122121000
4213011330301
510110413420
61003352213
7153051336
oct47057461
921248530
1010247985
11586a510
123522669
13217a6c7
14150a98d
15d76690
hex9c5f31

10247985 has 64 divisors (see below), whose sum is σ = 20367360. Its totient is φ = 4847040.

The previous prime is 10247983. The next prime is 10247987. The reversal of 10247985 is 58974201.

10247985 is a `hidden beast` number, since 102 + 479 + 85 = 666.

10247985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10247983) and next prime (10247987).

It is not a de Polignac number, because 10247985 - 21 = 10247983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10247983) 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 63 ways as a sum of consecutive naturals, for example, 99444 + ... + 99546.

It is an arithmetic number, because the mean of its divisors is an integer number (318240).

Almost surely, 210247985 is an apocalyptic number.

10247985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10247985 is a deficient number, since it is larger than the sum of its proper divisors (10119375).

10247985 is a wasteful number, since it uses less digits than its factorization.

10247985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10247985 is about 3201.2474131188. The cubic root of 10247985 is about 217.2098389975.

It can be divided in two parts, 1024 and 7985, that added together give a palindrome (9009).

The spelling of 10247985 in words is "ten million, two hundred forty-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 67 99 103 135 165 201 297 309 335 495 515 603 737 927 1005 1133 1485 1545 1809 2211 2781 3015 3399 3685 4635 5665 6633 6901 9045 10197 11055 13905 16995 19899 20703 30591 33165 34505 50985 62109 75911 99495 103515 152955 186327 227733 310545 379555 683199 931635 1138665 2049597 3415995 10247985