Search a number
-
+
12089880 = 23325114371
BaseRepresentation
bin101110000111…
…101000011000
3211202020012100
4232013220120
511043334010
61111043400
7204522315
oct56075030
924666170
1012089880
116908340
124070560
132673b9a
141869d0c
1510dc2c0
hexb87a18

12089880 has 192 divisors, whose sum is σ = 44478720. Its totient is φ = 2822400.

The previous prime is 12089879. The next prime is 12089887. The reversal of 12089880 is 8898021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12089887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170245 + ... + 170315.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 212089880 is an apocalyptic number.

12089880 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 12089880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239360).

12089880 is an abundant number, since it is smaller than the sum of its proper divisors (32388840).

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

12089880 is a wasteful number, since it uses less digits than its factorization.

12089880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 12089880 is about 3477.0504741807. The cubic root of 12089880 is about 229.5130213182.

It can be divided in two parts, 120 and 89880, that added together give a square (90000 = 3002).

The spelling of 12089880 in words is "twelve million, eighty-nine thousand, eight hundred eighty".