Search a number
-
+
10523172 = 22311292749
BaseRepresentation
bin101000001001…
…001000100100
3201210122002010
4220021020210
510143220142
61013314220
7155305542
oct50111044
921718063
1010523172
115a38240
123635970
132245a3a
14157cd92
15dcce9c
hexa09224

10523172 has 48 divisors (see below), whose sum is σ = 27720000. Its totient is φ = 3077760.

The previous prime is 10523141. The next prime is 10523173. The reversal of 10523172 is 27132501.

It is a super-2 number, since 2×105231722 = 221474297883168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10523173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2454 + ... + 5202.

It is an arithmetic number, because the mean of its divisors is an integer number (577500).

Almost surely, 210523172 is an apocalyptic number.

10523172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10523172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860000).

10523172 is an abundant number, since it is smaller than the sum of its proper divisors (17196828).

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

10523172 is a wasteful number, since it uses less digits than its factorization.

10523172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10523172 is about 3243.9438959390. The cubic root of 10523172 is about 219.1369215288.

Adding to 10523172 its reverse (27132501), we get a palindrome (37655673).

It can be divided in two parts, 1052 and 3172, that added together give a palindrome (4224).

The spelling of 10523172 in words is "ten million, five hundred twenty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 2749 3828 5498 8247 10996 16494 30239 32988 60478 79721 90717 120956 159442 181434 239163 318884 362868 478326 876931 956652 1753862 2630793 3507724 5261586 10523172