Search a number
-
+
12383748 = 22321347563
BaseRepresentation
bin101111001111…
…011000000100
3212022011022100
4233033120010
511132234443
61121232100
7210155136
oct57173004
925264270
1012383748
116a99103
124192630
132747880
141905056
1511493d3
hexbcf604

12383748 has 72 divisors (see below), whose sum is σ = 34489728. Its totient is φ = 3722688.

The previous prime is 12383747. The next prime is 12383759. The reversal of 12383748 is 84738321.

12383748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12383741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21715 + ... + 22277.

It is an arithmetic number, because the mean of its divisors is an integer number (479024).

Almost surely, 212383748 is an apocalyptic number.

12383748 is a gapful number since it is divisible by the number (18) 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 12383748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244864).

12383748 is an abundant number, since it is smaller than the sum of its proper divisors (22105980).

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

12383748 is a wasteful number, since it uses less digits than its factorization.

12383748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 628 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12383748 is about 3519.0549867827. The cubic root of 12383748 is about 231.3577410780.

It can be divided in two parts, 12383 and 748, that added together give a palindrome (13131).

The spelling of 12383748 in words is "twelve million, three hundred eighty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 563 564 611 846 1126 1222 1689 1692 1833 2252 2444 3378 3666 5067 5499 6756 7319 7332 10134 10998 14638 20268 21957 21996 26461 29276 43914 52922 65871 79383 87828 105844 131742 158766 238149 263484 317532 343993 476298 687986 952596 1031979 1375972 2063958 3095937 4127916 6191874 12383748