Search a number
-
+
12188720 = 2451511009
BaseRepresentation
bin101110011111…
…110000110000
3211221020210002
4232133300300
511110014340
61113125132
7205413425
oct56376060
924836702
1012188720
116975625
1240b97a8
1326a9b7b
141893d4c
15110b715
hexb9fc30

12188720 has 40 divisors (see below), whose sum is σ = 28554720. Its totient is φ = 4838400.

The previous prime is 12188719. The next prime is 12188723. The reversal of 12188720 is 2788121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12188723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11576 + ... + 12584.

It is an arithmetic number, because the mean of its divisors is an integer number (713868).

Almost surely, 212188720 is an apocalyptic number.

12188720 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 12188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277360).

12188720 is an abundant number, since it is smaller than the sum of its proper divisors (16366000).

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

12188720 is a wasteful number, since it uses less digits than its factorization.

12188720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 12188720 is about 3491.2347385989. The cubic root of 12188720 is about 230.1367806444.

The spelling of 12188720 in words is "twelve million, one hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1009 1208 1510 2018 2416 3020 4036 5045 6040 8072 10090 12080 16144 20180 40360 80720 152359 304718 609436 761795 1218872 1523590 2437744 3047180 6094360 12188720