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12049900 = 2252412939
BaseRepresentation
bin101101111101…
…110111101100
3211200012100121
4231331313230
511041044100
61110134324
7204264622
oct55756754
924605317
1012049900
1168902a5
1240513a4
13265b925
141859512
1510d051a
hexb7ddec

12049900 has 36 divisors (see below), whose sum is σ = 26795160. Its totient is φ = 4700800.

The previous prime is 12049897. The next prime is 12049903. The reversal of 12049900 is 994021.

It is an interprime number because it is at equal distance from previous prime (12049897) and next prime (12049903).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12049903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2631 + ... + 5569.

It is an arithmetic number, because the mean of its divisors is an integer number (744310).

Almost surely, 212049900 is an apocalyptic number.

12049900 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 12049900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397580).

12049900 is an abundant number, since it is smaller than the sum of its proper divisors (14745260).

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

12049900 is a wasteful number, since it uses less digits than its factorization.

12049900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 12049900 is about 3471.2965877320. The cubic root of 12049900 is about 229.2597498814.

The spelling of 12049900 in words is "twelve million, forty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2939 4100 5878 11756 14695 29390 58780 73475 120499 146950 240998 293900 481996 602495 1204990 2409980 3012475 6024950 12049900