Search a number
-
+
12052320 = 2535717211
BaseRepresentation
bin101101111110…
…011101100000
3211200022200020
4231332131200
511041133240
61110153440
7204304650
oct55763540
924608606
1012052320
1168920a5
124052880
13265ca67
14185a360
1510d10d0
hexb7e760

12052320 has 192 divisors, whose sum is σ = 46158336. Its totient is φ = 2580480.

The previous prime is 12052307. The next prime is 12052331. The reversal of 12052320 is 2325021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12052320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57015 + ... + 57225.

It is an arithmetic number, because the mean of its divisors is an integer number (240408).

Almost surely, 212052320 is an apocalyptic number.

12052320 is a gapful number since it is divisible by the number (10) 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 12052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079168).

12052320 is an abundant number, since it is smaller than the sum of its proper divisors (34106016).

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

12052320 is a wasteful number, since it uses less digits than its factorization.

12052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12052320 is about 3471.6451431562. The cubic root of 12052320 is about 229.2750963838.

Adding to 12052320 its reverse (2325021), we get a palindrome (14377341).

The spelling of 12052320 in words is "twelve million, fifty-two thousand, three hundred twenty".