Search a number
-
+
10036827 = 321318513
BaseRepresentation
bin100110010010…
…011001011011
3200212220221100
4212102121123
510032134302
6555042443
7151211613
oct46223133
920786840
1010036827
1157358a9
123440423
132105568
141493a43
15d33d1c
hex99265b

10036827 has 12 divisors (see below), whose sum is σ = 14610024. Its totient is φ = 6639360.

The previous prime is 10036787. The next prime is 10036837. The reversal of 10036827 is 72863001.

10036827 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 10036827 - 28 = 10036571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10036827.

It is not an unprimeable number, because it can be changed into a prime (10036837) 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, 3078 + ... + 5435.

It is an arithmetic number, because the mean of its divisors is an integer number (1217502).

Almost surely, 210036827 is an apocalyptic number.

10036827 is a deficient number, since it is larger than the sum of its proper divisors (4573197).

10036827 is a wasteful number, since it uses less digits than its factorization.

10036827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8650 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10036827 is about 3168.0951690251. The cubic root of 10036827 is about 215.7076162308.

Adding to 10036827 its reverse (72863001), we get a palindrome (82899828).

The spelling of 10036827 in words is "ten million, thirty-six thousand, eight hundred twenty-seven".

Divisors: 1 3 9 131 393 1179 8513 25539 76617 1115203 3345609 10036827