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12020085 = 3257113469
BaseRepresentation
bin101101110110…
…100101110101
3211121200110100
4231312211311
511034120320
61105344313
7204111660
oct55664565
924550410
1012020085
11686a960
124038099
13264b19c
14184c6d7
1510c6790
hexb76975

12020085 has 48 divisors (see below), whose sum is σ = 25983360. Its totient is φ = 4993920.

The previous prime is 12020083. The next prime is 12020119. The reversal of 12020085 is 58002021.

It is not a de Polignac number, because 12020085 - 21 = 12020083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (541320).

Almost surely, 212020085 is an apocalyptic number.

12020085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12020085 is an abundant number, since it is smaller than the sum of its proper divisors (13963275).

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

12020085 is a wasteful number, since it uses less digits than its factorization.

12020085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12020085 is about 3466.9994231323. Note that the first 3 decimals coincide. The cubic root of 12020085 is about 229.0705083445.

The spelling of 12020085 in words is "twelve million, twenty thousand, eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 3469 10407 17345 24283 31221 38159 52035 72849 114477 121415 156105 190795 218547 267113 343431 364245 572385 801339 1092735 1335565 1717155 2404017 4006695 12020085