Search a number
-
+
10090938 = 23111319619
BaseRepresentation
bin100110011111…
…100110111010
3200222200011110
4212133212322
510040402223
61000141150
7151525434
oct46374672
920880143
1010090938
115772520
1234677b6
132124090
1414a9654
15d44d93
hex99f9ba

10090938 has 64 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 2669760.

The previous prime is 10090933. The next prime is 10090943. The reversal of 10090938 is 83909001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10090933) and next prime (10090943).

It is not an unprimeable number, because it can be changed into a prime (10090933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15993 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 210090938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10090938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

10090938 is an abundant number, since it is smaller than the sum of its proper divisors (14907462).

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

10090938 is a wasteful number, since it uses less digits than its factorization.

10090938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10090938 is about 3176.6236793174. The cubic root of 10090938 is about 216.0945659313.

Adding to 10090938 its reverse (83909001), we get a palindrome (93999939).

The spelling of 10090938 in words is "ten million, ninety thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 619 627 741 858 1238 1254 1482 1857 2717 3714 5434 6809 8047 8151 11761 13618 16094 16302 20427 23522 24141 35283 40854 48282 70566 88517 129371 152893 177034 258742 265551 305786 388113 458679 531102 776226 917358 1681823 3363646 5045469 10090938