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12198380 = 2251947683
BaseRepresentation
bin101110100010…
…000111101100
3211221202000212
4232202013230
511110322010
61113241552
7205453535
oct56420754
924852025
1012198380
116981907
1241032b8
1326b139c
14189768c
15110e505
hexba21ec

12198380 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4517568.

The previous prime is 12198379. The next prime is 12198383. The reversal of 12198380 is 8389121.

12198380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12198383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17519 + ... + 18201.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 212198380 is an apocalyptic number.

12198380 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 12198380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

12198380 is an abundant number, since it is smaller than the sum of its proper divisors (15380500).

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

12198380 is a wasteful number, since it uses less digits than its factorization.

12198380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 12198380 is about 3492.6179292903. The cubic root of 12198380 is about 230.1975618218.

The spelling of 12198380 in words is "twelve million, one hundred ninety-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 683 893 940 1366 1786 2732 3415 3572 4465 6830 8930 12977 13660 17860 25954 32101 51908 64202 64885 128404 129770 160505 259540 321010 609919 642020 1219838 2439676 3049595 6099190 12198380