Search a number
-
+
12027024 = 2432174
BaseRepresentation
bin101101111000…
…010010010000
3211122000222100
4231320102100
511034331044
61105440400
7204141132
oct55702220
924560870
1012027024
116875099
124040100
1326513a9
141851052
1510c8869
hexb78490

12027024 has 75 divisors (see below), whose sum is σ = 35762623. Its totient is φ = 3773184.

The previous prime is 12027017. The next prime is 12027049. The reversal of 12027024 is 42072021.

The square root of 12027024 is 3468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 8294400 = 1932^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12026988 and 12027006.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 707464 + ... + 707480.

Almost surely, 212027024 is an apocalyptic number.

12027024 is the 3468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12027024

12027024 is an abundant number, since it is smaller than the sum of its proper divisors (23735599).

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

12027024 is an frugal number, since it uses more digits than its factorization.

12027024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The cubic root of 12027024 is about 229.1145794274.

Adding to 12027024 its reverse (42072021), we get a palindrome (54099045).

The spelling of 12027024 in words is "twelve million, twenty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 4913 5202 6936 9826 10404 13872 14739 19652 20808 29478 39304 41616 44217 58956 78608 83521 88434 117912 167042 176868 235824 250563 334084 353736 501126 668168 707472 751689 1002252 1336336 1503378 2004504 3006756 4009008 6013512 12027024