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10283985 = 3251731321
BaseRepresentation
bin100111001110…
…101111010001
3201100110222100
4213032233101
510113041420
61004231013
7153261315
oct47165721
921313870
1010283985
115894568
12353b469
132190bca
141519b45
15d82190
hex9cebd1

10283985 has 24 divisors (see below), whose sum is σ = 17942184. Its totient is φ = 5448960.

The previous prime is 10283981. The next prime is 10284011. The reversal of 10283985 is 58938201.

It can be written as a sum of positive squares in 4 ways, for example, as 5461569 + 4822416 = 2337^2 + 2196^2 .

It is not a de Polignac number, because 10283985 - 22 = 10283981 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10283981) 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, 7125 + ... + 8445.

It is an arithmetic number, because the mean of its divisors is an integer number (747591).

Almost surely, 210283985 is an apocalyptic number.

10283985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10283985 is a deficient number, since it is larger than the sum of its proper divisors (7658199).

10283985 is a wasteful number, since it uses less digits than its factorization.

10283985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 10283985 is about 3206.8652918387. The cubic root of 10283985 is about 217.4638861958.

The spelling of 10283985 in words is "ten million, two hundred eighty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 173 519 865 1321 1557 2595 3963 6605 7785 11889 19815 59445 228533 685599 1142665 2056797 3427995 10283985