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12881940 = 2235434993
BaseRepresentation
bin110001001001…
…000000010100
3220020110200220
4301021000110
511244210230
61140034340
7214331451
oct61110024
926213626
1012881940
1172a9435
1243929b0
132890566
1419d4828
1511e6d10
hexc49014

12881940 has 48 divisors (see below), whose sum is σ = 36915648. Its totient is φ = 3354624.

The previous prime is 12881923. The next prime is 12881941. The reversal of 12881940 is 4918821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12881941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 5076.

It is an arithmetic number, because the mean of its divisors is an integer number (769076).

Almost surely, 212881940 is an apocalyptic number.

12881940 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 12881940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457824).

12881940 is an abundant number, since it is smaller than the sum of its proper divisors (24033708).

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

12881940 is a wasteful number, since it uses less digits than its factorization.

12881940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 12881940 is about 3589.1419587417. The cubic root of 12881940 is about 234.4195119014.

The spelling of 12881940 in words is "twelve million, eight hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4993 9986 14979 19972 24965 29958 49930 59916 74895 99860 149790 214699 299580 429398 644097 858796 1073495 1288194 2146990 2576388 3220485 4293980 6440970 12881940