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11816676 = 2232615381
BaseRepresentation
bin101101000100…
…111011100100
3211020100102200
4231010323210
511011113201
61101134500
7202303644
oct55047344
924210380
1011816676
116741053
123b5a430
1325a9721
1417d8524
151086386
hexb44ee4

11816676 has 36 divisors (see below), whose sum is σ = 30365244. Its totient is φ = 3873600.

The previous prime is 11816671. The next prime is 11816677. The reversal of 11816676 is 67661811.

11816676 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 10074276 = 1320^2 + 3174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11816676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11816671) 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, 495 + ... + 4886.

It is an arithmetic number, because the mean of its divisors is an integer number (843479).

Almost surely, 211816676 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 11816676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182622).

11816676 is an abundant number, since it is smaller than the sum of its proper divisors (18548568).

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

11816676 is a wasteful number, since it uses less digits than its factorization.

11816676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5447 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11816676 is about 3437.5392361397. The cubic root of 11816676 is about 227.7710073912.

The spelling of 11816676 in words is "eleven million, eight hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 5381 10762 16143 21524 32286 48429 64572 96858 193716 328241 656482 984723 1312964 1969446 2954169 3938892 5908338 11816676