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12048036 = 223711131759
BaseRepresentation
bin101101111101…
…011010100100
3211200002210120
4231331122210
511041014121
61110121540
7204256320
oct55753244
924602716
1012048036
116889960
1240502b0
13265ab20
141858980
1510cebc6
hexb7d6a4

12048036 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 2672640.

The previous prime is 12047989. The next prime is 12048073. The reversal of 12048036 is 63084021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12047997 and 12048015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204175 + ... + 204233.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 212048036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12048036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

12048036 is an abundant number, since it is smaller than the sum of its proper divisors (28594524).

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

12048036 is a wasteful number, since it uses less digits than its factorization.

12048036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12048036 is about 3471.0280897740. The cubic root of 12048036 is about 229.2479278687.

The spelling of 12048036 in words is "twelve million, forty-eight thousand, thirty-six".