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4040106 = 2372931107
BaseRepresentation
bin1111011010010110101010
321121020222120
433122112222
52013240411
6222332110
746224510
oct17322652
97536876
104040106
11230a434
12142a036
13ab5bc5
147724b0
1554c106
hex3da5aa

4040106 has 64 divisors (see below), whose sum is σ = 9953280. Its totient is φ = 1068480.

The previous prime is 4040093. The next prime is 4040119. The reversal of 4040106 is 6010404.

It is an interprime number because it is at equal distance from previous prime (4040093) and next prime (4040119).

It is a super-3 number, since 3×40401063 (a number of 21 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 37705 + ... + 37811.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

Almost surely, 24040106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976640).

4040106 is an abundant number, since it is smaller than the sum of its proper divisors (5913174).

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

4040106 is a wasteful number, since it uses less digits than its factorization.

4040106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4040106 is about 2010.0014925368. The cubic root of 4040106 is about 159.2688777571.

The spelling of 4040106 in words is "four million, forty thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 107 174 186 203 214 217 321 406 434 609 642 651 749 899 1218 1302 1498 1798 2247 2697 3103 3317 4494 5394 6206 6293 6634 9309 9951 12586 18618 18879 19902 21721 23219 37758 43442 46438 65163 69657 96193 130326 139314 192386 288579 577158 673351 1346702 2020053 4040106