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10640192 = 26312173
BaseRepresentation
bin101000100101…
…101101000000
3202000120121012
4220211231000
510210441232
61020020052
7156303653
oct50455500
922016535
1010640192
116008152
123691628
132287094
1415ad89a
15e029b2
hexa25b40

10640192 has 42 divisors (see below), whose sum is σ = 21943314. Its totient is φ = 5118720.

The previous prime is 10640173. The next prime is 10640207. The reversal of 10640192 is 29104601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10394176 + 246016 = 3224^2 + 496^2 .

It is a super-2 number, since 2×106401922 = 226427371593728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61418 + ... + 61590.

Almost surely, 210640192 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 10640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971657).

10640192 is an abundant number, since it is smaller than the sum of its proper divisors (11303122).

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

10640192 is an equidigital number, since it uses as much as digits as its factorization.

10640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10640192 is about 3261.9307166155. The cubic root of 10640192 is about 219.9462127461.

Adding to 10640192 its reverse (29104601), we get a palindrome (39744793).

The spelling of 10640192 in words is "ten million, six hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 173 248 346 496 692 961 992 1384 1922 1984 2768 3844 5363 5536 7688 10726 11072 15376 21452 30752 42904 61504 85808 166253 171616 332506 343232 665012 1330024 2660048 5320096 10640192