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10038087 = 35101409
BaseRepresentation
bin100110010010…
…101101000111
3200212222200000
4212102231013
510032204322
6555052343
7151215363
oct46225507
920788600
1010038087
115736844
1234410b3
132105cc7
1414942a3
15d343ac
hex992b47

10038087 has 24 divisors (see below), whose sum is σ = 15222480. Its totient is φ = 6609600.

The previous prime is 10038073. The next prime is 10038113. The reversal of 10038087 is 78083001.

10038087 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10038087 - 216 = 9972551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10038087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038187) 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, 24339 + ... + 24747.

It is an arithmetic number, because the mean of its divisors is an integer number (634270).

Almost surely, 210038087 is an apocalyptic number.

10038087 is a deficient number, since it is larger than the sum of its proper divisors (5184393).

10038087 is an equidigital number, since it uses as much as digits as its factorization.

10038087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10038087 is about 3168.2940204470. The cubic root of 10038087 is about 215.7166423312.

The spelling of 10038087 in words is "ten million, thirty-eight thousand, eighty-seven".

Divisors: 1 3 9 27 81 101 243 303 409 909 1227 2727 3681 8181 11043 24543 33129 41309 99387 123927 371781 1115343 3346029 10038087