Search a number
-
+
12800232 = 23321391279
BaseRepresentation
bin110000110101…
…000011101000
3220002022121200
4300311003220
511234101412
61134204200
7213541314
oct60650350
926068550
1012800232
117253005
124353660
132862303
1419b2b44
1511cc9dc
hexc350e8

12800232 has 48 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 4232736.

The previous prime is 12800209. The next prime is 12800237. The reversal of 12800232 is 23200821.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12800237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9369 + ... + 10647.

It is an arithmetic number, because the mean of its divisors is an integer number (728000).

Almost surely, 212800232 is an apocalyptic number.

12800232 is a gapful number since it is divisible by the number (12) 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 12800232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

12800232 is an abundant number, since it is smaller than the sum of its proper divisors (22143768).

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

12800232 is a wasteful number, since it uses less digits than its factorization.

12800232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12800232 is about 3577.7411868384. The cubic root of 12800232 is about 233.9228323237.

The spelling of 12800232 in words is "twelve million, eight hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1279 1668 2502 2558 3336 3837 5004 5116 7674 10008 10232 11511 15348 23022 30696 46044 92088 177781 355562 533343 711124 1066686 1422248 1600029 2133372 3200058 4266744 6400116 12800232