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10193796 = 2233372551
BaseRepresentation
bin100110111000…
…101110000100
3201011220021000
4212320232010
510102200141
61002253300
7152434344
oct46705604
921156230
1010193796
115832828
1234b7230
13215bb42
1414d4d24
15d655b6
hex9b8b84

10193796 has 48 divisors (see below), whose sum is σ = 27153280. Its totient is φ = 3304800.

The previous prime is 10193791. The next prime is 10193797. The reversal of 10193796 is 69739101.

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 Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10193796.

It is not an unprimeable number, because it can be changed into a prime (10193791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721 + ... + 5271.

Almost surely, 210193796 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 10193796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13576640).

10193796 is an abundant number, since it is smaller than the sum of its proper divisors (16959484).

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

10193796 is a wasteful number, since it uses less digits than its factorization.

10193796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 10193796 is about 3192.7724629231. The cubic root of 10193796 is about 216.8263102195.

The spelling of 10193796 in words is "ten million, one hundred ninety-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 2551 3996 5102 7653 10204 15306 22959 30612 45918 68877 91836 94387 137754 188774 275508 283161 377548 566322 849483 1132644 1698966 2548449 3397932 5096898 10193796