Search a number
-
+
10894104 = 233213103113
BaseRepresentation
bin101001100011…
…101100011000
3202111110220100
4221203230120
510242102404
61025255400
7161412144
oct51435430
922443810
1010894104
1161709a1
123794560
132345820
141638224
15e52d39
hexa63b18

10894104 has 96 divisors (see below), whose sum is σ = 32366880. Its totient is φ = 3290112.

The previous prime is 10894061. The next prime is 10894123. The reversal of 10894104 is 40149801.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 96352 + ... + 96464.

It is an arithmetic number, because the mean of its divisors is an integer number (337155).

Almost surely, 210894104 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 10894104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183440).

10894104 is an abundant number, since it is smaller than the sum of its proper divisors (21472776).

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

10894104 is a wasteful number, since it uses less digits than its factorization.

10894104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10894104 is about 3300.6217596083. The cubic root of 10894104 is about 221.6820381172.

The spelling of 10894104 in words is "ten million, eight hundred ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 103 104 113 117 156 206 226 234 309 312 339 412 452 468 618 678 824 904 927 936 1017 1236 1339 1356 1469 1854 2034 2472 2678 2712 2938 3708 4017 4068 4407 5356 5876 7416 8034 8136 8814 10712 11639 11752 12051 13221 16068 17628 23278 24102 26442 32136 34917 35256 46556 48204 52884 69834 93112 96408 104751 105768 139668 151307 209502 279336 302614 419004 453921 605228 838008 907842 1210456 1361763 1815684 2723526 3631368 5447052 10894104