Search a number
-
+
12237024 = 253413109
BaseRepresentation
bin101110101011…
…100011100000
3212000201001010
4232223203200
511113041044
61114140520
7206004312
oct56534340
925021033
1012237024
1169a8948
124121740
1326c5b57
1418a77b2
15111abb9
hexbab8e0

12237024 has 48 divisors (see below), whose sum is σ = 32916240. Its totient is φ = 3978240.

The previous prime is 12237023. The next prime is 12237031. The reversal of 12237024 is 42073221.

12237024 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12237023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2382 + ... + 5490.

It is an arithmetic number, because the mean of its divisors is an integer number (685755).

Almost surely, 212237024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12237024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458120).

12237024 is an abundant number, since it is smaller than the sum of its proper divisors (20679216).

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

12237024 is a wasteful number, since it uses less digits than its factorization.

12237024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12237024 is about 3498.1457945603. The cubic root of 12237024 is about 230.4403912597.

The spelling of 12237024 in words is "twelve million, two hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3109 3936 6218 9327 12436 18654 24872 37308 49744 74616 99488 127469 149232 254938 298464 382407 509876 764814 1019752 1529628 2039504 3059256 4079008 6118512 12237024