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10526985 = 3257231453
BaseRepresentation
bin101000001010…
…000100001001
3201210211022100
4220022010021
510143330420
61013344013
7155322630
oct50120411
921724270
1010526985
115a40097
123638009
1322476b1
141580517
15dce190
hexa0a109

10526985 has 48 divisors (see below), whose sum is σ = 21775104. Its totient is φ = 4599936.

The previous prime is 10526963. The next prime is 10527017. The reversal of 10526985 is 58962501.

It is a happy number.

10526985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10526985 - 210 = 10525961 is a prime.

It is a super-2 number, since 2×105269852 = 221634826380450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6519 + ... + 7971.

It is an arithmetic number, because the mean of its divisors is an integer number (453648).

Almost surely, 210526985 is an apocalyptic number.

10526985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10526985 is an abundant number, since it is smaller than the sum of its proper divisors (11248119).

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

10526985 is a wasteful number, since it uses less digits than its factorization.

10526985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 10526985 is about 3244.5315532446. The cubic root of 10526985 is about 219.1633859250.

It can be divided in two parts, 10526 and 985, that added together give a palindrome (11511).

The spelling of 10526985 in words is "ten million, five hundred twenty-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 1453 2415 4359 7245 7265 10171 13077 21795 30513 33419 50855 65385 91539 100257 152565 167095 233933 300771 457695 501285 701799 1169665 1503855 2105397 3508995 10526985