Search a number
-
+
10392128 = 26712287
BaseRepresentation
bin100111101001…
…001001000000
3201112222022122
4213221021000
510130022003
61010423412
7154221515
oct47511100
921488278
1010392128
11595883a
123591b68
1321cb1b6
14154730c
15da4238
hex9e9240

10392128 has 28 divisors (see below), whose sum is σ = 20921472. Its totient is φ = 5120640.

The previous prime is 10392103. The next prime is 10392133. The reversal of 10392128 is 82129301.

It is a junction number, because it is equal to n+sod(n) for n = 10392097 and 10392106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3401 + ... + 5687.

Almost surely, 210392128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460736).

10392128 is an abundant number, since it is smaller than the sum of its proper divisors (10529344).

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

10392128 is an equidigital number, since it uses as much as digits as its factorization.

10392128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10392128 is about 3223.6823664871. The cubic root of 10392128 is about 218.2234893470.

The spelling of 10392128 in words is "ten million, three hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 2287 4544 4574 9148 18296 36592 73184 146368 162377 324754 649508 1299016 2598032 5196064 10392128