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3980106 = 2321373233
BaseRepresentation
bin1111001011101101001010
321111012200100
433023231022
52004330411
6221150230
745554544
oct17135512
97435610
103980106
112279349
1213bb376
13a947c0
14758694
15539456
hex3cbb4a

3980106 has 48 divisors (see below), whose sum is σ = 9454536. Its totient is φ = 1202688.

The previous prime is 3980089. The next prime is 3980113. The reversal of 3980106 is 6010893.

It can be written as a sum of positive squares in 4 ways, for example, as 2277081 + 1703025 = 1509^2 + 1305^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3980106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16966 + ... + 17198.

Almost surely, 23980106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727268).

3980106 is an abundant number, since it is smaller than the sum of its proper divisors (5474430).

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

3980106 is a wasteful number, since it uses less digits than its factorization.

3980106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3980106 is about 1995.0203006486. The cubic root of 3980106 is about 158.4765030665.

Adding to 3980106 its reverse (6010893), we get a palindrome (9990999).

The spelling of 3980106 in words is "three million, nine hundred eighty thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 233 234 438 466 657 699 949 1314 1398 1898 2097 2847 3029 4194 5694 6058 8541 9087 17009 17082 18174 27261 34018 51027 54522 102054 153081 221117 306162 442234 663351 1326702 1990053 3980106