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12081940 = 22513311499
BaseRepresentation
bin101110000101…
…101100010100
3211201211022021
4232011230110
511043110230
61110542524
7204460213
oct56055424
924654267
1012081940
116902382
124067a44
1326703a0
14186707a
1510d9c7a
hexb85b14

12081940 has 48 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 4314240.

The previous prime is 12081919. The next prime is 12081941. The reversal of 12081940 is 4918021.

12081940 = T27 + T28 + ... + T416.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12081941) 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 15 ways as a sum of consecutive naturals, for example, 7311 + ... + 8809.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 212081940 is an apocalyptic number.

12081940 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 12081940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

12081940 is an abundant number, since it is smaller than the sum of its proper divisors (16142060).

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

12081940 is a wasteful number, since it uses less digits than its factorization.

12081940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12081940 is about 3475.9085143312. The cubic root of 12081940 is about 229.4627662710.

Adding to 12081940 its reverse (4918021), we get a palindrome (16999961).

The spelling of 12081940 in words is "twelve million, eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1499 1612 2015 2998 4030 5996 7495 8060 14990 19487 29980 38974 46469 77948 92938 97435 185876 194870 232345 389740 464690 604097 929380 1208194 2416388 3020485 6040970 12081940