Search a number
-
+
10123104 = 253105449
BaseRepresentation
bin100110100111…
…011101100000
3201001022021210
4212213131200
510042414404
61000550120
7152021265
oct46473540
921038253
1010123104
115794702
123482340
132135904
1414b726c
15d4e689
hex9a7760

10123104 has 24 divisors (see below), whose sum is σ = 26573400. Its totient is φ = 3374336.

The previous prime is 10123093. The next prime is 10123111. The reversal of 10123104 is 40132101.

It is a happy number.

10123104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10123104.

It is a congruent number.

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, 52629 + ... + 52820.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 210123104 is an apocalyptic number.

It is an amenable number.

10123104 is an abundant number, since it is smaller than the sum of its proper divisors (16450296).

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

10123104 is a wasteful number, since it uses less digits than its factorization.

10123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105462 (or 105454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10123104 is about 3181.6825737336. The cubic root of 10123104 is about 216.3239309738.

Adding to 10123104 its reverse (40132101), we get a palindrome (50255205).

The spelling of 10123104 in words is "ten million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105449 210898 316347 421796 632694 843592 1265388 1687184 2530776 3374368 5061552 10123104