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12889900 = 2252831553
BaseRepresentation
bin110001001010…
…111100101100
3220020212121201
4301022330230
511244434100
61140135244
7214363612
oct61127454
926225551
1012889900
117304411
124397524
13289407a
1419d76b2
1511e936a
hexc4af2c

12889900 has 36 divisors (see below), whose sum is σ = 28326312. Its totient is φ = 5090560.

The previous prime is 12889897. The next prime is 12889909. The reversal of 12889900 is 998821.

12889900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128899002 = 332299044020000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12889900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12889909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7524 + ... + 9076.

It is an arithmetic number, because the mean of its divisors is an integer number (786842).

Almost surely, 212889900 is an apocalyptic number.

12889900 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 12889900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163156).

12889900 is an abundant number, since it is smaller than the sum of its proper divisors (15436412).

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

12889900 is a wasteful number, since it uses less digits than its factorization.

12889900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 12889900 is about 3590.2506876261. The cubic root of 12889900 is about 234.4677860771.

The spelling of 12889900 in words is "twelve million, eight hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1553 1660 2075 3106 4150 6212 7765 8300 15530 31060 38825 77650 128899 155300 257798 515596 644495 1288990 2577980 3222475 6444950 12889900