Search a number
-
+
12023004 = 2237413491
BaseRepresentation
bin101101110111…
…010011011100
3211121211110110
4231313103130
511034214004
61105410020
7204123330
oct55672334
924554413
1012023004
116872074
124039910
13264c606
14184d7c0
1510c7589
hexb774dc

12023004 has 48 divisors (see below), whose sum is σ = 32852736. Its totient is φ = 3350400.

The previous prime is 12023003. The next prime is 12023021. The reversal of 12023004 is 40032021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1699 + ... + 5189.

It is an arithmetic number, because the mean of its divisors is an integer number (684432).

Almost surely, 212023004 is an apocalyptic number.

12023004 is a gapful number since it is divisible by the number (14) 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 12023004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426368).

12023004 is an abundant number, since it is smaller than the sum of its proper divisors (20829732).

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

12023004 is a wasteful number, since it uses less digits than its factorization.

12023004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12023004 is about 3467.4203667857. The cubic root of 12023004 is about 229.0890496081.

Adding to 12023004 its reverse (40032021), we get a palindrome (52055025).

The spelling of 12023004 in words is "twelve million, twenty-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 3491 6982 10473 13964 20946 24437 41892 48874 73311 97748 143131 146622 286262 293244 429393 572524 858786 1001917 1717572 2003834 3005751 4007668 6011502 12023004