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10082369 = 111922539
BaseRepresentation
bin100110011101…
…100001000001
3200222020102002
4212131201001
510040113434
61000033345
7151461443
oct46354101
920866362
1010082369
115767040
123462855
1321201cb
1414a6493
15d4257e
hex99d841

10082369 has 12 divisors (see below), whose sum is σ = 11612880. Its totient is φ = 8679960.

The previous prime is 10082363. The next prime is 10082399. The reversal of 10082369 is 96328001.

It is not a de Polignac number, because 10082369 - 28 = 10082113 is a prime.

It is a super-2 number, since 2×100823692 = 203308329304322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10082363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2702 + ... + 5240.

It is an arithmetic number, because the mean of its divisors is an integer number (967740).

Almost surely, 210082369 is an apocalyptic number.

10082369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10082369 is a deficient number, since it is larger than the sum of its proper divisors (1530511).

10082369 is a wasteful number, since it uses less digits than its factorization.

10082369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10082369 is about 3175.2746337915. The cubic root of 10082369 is about 216.0333810435.

It can be divided in two parts, 100 and 82369, that multiplied together give a square (8236900 = 28702).

The spelling of 10082369 in words is "ten million, eighty-two thousand, three hundred sixty-nine".

Divisors: 1 11 19 209 361 2539 3971 27929 48241 530651 916579 10082369