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3909906 = 23272111331
BaseRepresentation
bin1110111010100100010010
321100122101100
432322210102
52000104111
6215445230
745143100
oct16724422
97318340
103909906
112230630
121386816
13a6b870
1473ac70
15523756
hex3ba912

3909906 has 144 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 907200.

The previous prime is 3909889. The next prime is 3909907. The reversal of 3909906 is 6099093.

3909906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3909907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126111 + ... + 126141.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

Almost surely, 23909906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3909906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

3909906 is an abundant number, since it is smaller than the sum of its proper divisors (8040942).

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

3909906 is a wasteful number, since it uses less digits than its factorization.

3909906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 3909906 is about 1977.3482242640. The cubic root of 3909906 is about 157.5392494774.

It can be divided in two parts, 390 and 9906, that added together give a triangular number (10296 = T143).

The spelling of 3909906 in words is "three million, nine hundred nine thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 31 33 39 42 49 62 63 66 77 78 91 93 98 99 117 126 143 147 154 182 186 198 217 231 234 273 279 286 294 341 403 429 434 441 462 539 546 558 637 651 682 693 806 819 858 882 1001 1023 1078 1209 1274 1287 1302 1386 1519 1617 1638 1911 1953 2002 2046 2387 2418 2574 2821 3003 3038 3069 3234 3627 3822 3906 4433 4557 4774 4851 5642 5733 6006 6138 7007 7161 7254 8463 8866 9009 9114 9702 11466 13299 13671 14014 14322 16709 16926 18018 19747 21021 21483 25389 26598 27342 31031 33418 39494 39897 42042 42966 50127 50778 59241 62062 63063 79794 93093 100254 118482 126126 150381 177723 186186 217217 279279 300762 355446 434434 558558 651651 1303302 1954953 3909906