Search a number
-
+
12390880 = 255431801
BaseRepresentation
bin101111010001…
…000111100000
3212022112002111
4233101013200
511133002010
61121325104
7210215005
oct57210740
925275074
1012390880
116aa34a7
124196794
13274aba8
1419078ac
15114b58a
hexbd11e0

12390880 has 48 divisors (see below), whose sum is σ = 29970864. Its totient is φ = 4838400.

The previous prime is 12390871. The next prime is 12390883. The reversal of 12390880 is 8809321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12390883) 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 7 ways as a sum of consecutive naturals, for example, 5980 + ... + 7780.

It is an arithmetic number, because the mean of its divisors is an integer number (624393).

Almost surely, 212390880 is an apocalyptic number.

12390880 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 12390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985432).

12390880 is an abundant number, since it is smaller than the sum of its proper divisors (17579984).

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

12390880 is a wasteful number, since it uses less digits than its factorization.

12390880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 12390880 is about 3520.0681811579. The cubic root of 12390880 is about 231.4021467714.

The spelling of 12390880 in words is "twelve million, three hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 1801 3440 3602 6880 7204 9005 14408 18010 28816 36020 57632 72040 77443 144080 154886 288160 309772 387215 619544 774430 1239088 1548860 2478176 3097720 6195440 12390880