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10028385 = 3251713109
BaseRepresentation
bin100110010000…
…010101100001
3200212111100200
4212100111201
510031402020
6554535413
7151145163
oct46202541
920774320
1010028385
11572a524
123437569
132101773
141490933
15d31590
hex990561

10028385 has 24 divisors (see below), whose sum is σ = 18406440. Its totient is φ = 5033472.

The previous prime is 10028383. The next prime is 10028393. The reversal of 10028385 is 58382001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1595169 + 8433216 = 1263^2 + 2904^2 .

It is not a de Polignac number, because 10028385 - 21 = 10028383 is a prime.

It is a super-3 number, since 3×100283853 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028383) 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, 5790 + ... + 7319.

It is an arithmetic number, because the mean of its divisors is an integer number (766935).

Almost surely, 210028385 is an apocalyptic number.

10028385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10028385 is a deficient number, since it is larger than the sum of its proper divisors (8378055).

10028385 is a wasteful number, since it uses less digits than its factorization.

10028385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137 (or 13134 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10028385 is about 3166.7625424083. The cubic root of 10028385 is about 215.6471218639.

The spelling of 10028385 in words is "ten million, twenty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 13109 39327 65545 117981 196635 222853 589905 668559 1114265 2005677 3342795 10028385