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10929906 = 2321323593
BaseRepresentation
bin101001101100…
…011011110010
3202120022000100
4221230123302
510244224111
61030133230
7161621421
oct51543362
922508010
1010929906
116195889
1237b1216
132358c00
1416472b8
15e5d756
hexa6c6f2

10929906 has 36 divisors (see below), whose sum is σ = 25650378. Its totient is φ = 3362112.

The previous prime is 10929901. The next prime is 10929907. The reversal of 10929906 is 60992901.

It can be written as a sum of positive squares in 3 ways, for example, as 4473225 + 6456681 = 2115^2 + 2541^2 .

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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10929901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1246 + ... + 4838.

Almost surely, 210929906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10929906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825189).

10929906 is an abundant number, since it is smaller than the sum of its proper divisors (14720472).

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

10929906 is a wasteful number, since it uses less digits than its factorization.

10929906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 10929906 is about 3306.0408345935. The cubic root of 10929906 is about 221.9246152615.

The spelling of 10929906 in words is "ten million, nine hundred twenty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 3593 7186 10779 21558 32337 46709 64674 93418 140127 280254 420381 607217 840762 1214434 1821651 3643302 5464953 10929906