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4106980 = 225297397
BaseRepresentation
bin1111101010101011100100
321201122201101
433222223210
52022410410
6224005444
746623463
oct17525344
97648641
104106980
1123556a9
121460884
13b0a487
1478c9da
15561d3a
hex3eaae4

4106980 has 48 divisors (see below), whose sum is σ = 9137520. Its totient is φ = 1548288.

The previous prime is 4106969. The next prime is 4106987. The reversal of 4106980 is 896014.

4106980 = T1 + T2 + ... + T290.

4106980 is a nontrivial binomial coefficient, being equal to C(292, 3).

It can be written as a sum of positive squares in 8 ways, for example, as 10404 + 4096576 = 102^2 + 2024^2 .

It is not an unprimeable number, because it can be changed into a prime (4106987) by changing a digit.

It is the 290-th tetrahedral 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 15 ways as a sum of consecutive naturals, for example, 42292 + ... + 42388.

It is an arithmetic number, because the mean of its divisors is an integer number (190365).

Almost surely, 24106980 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 4106980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568760).

4106980 is an abundant number, since it is smaller than the sum of its proper divisors (5030540).

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

4106980 is a wasteful number, since it uses less digits than its factorization.

4106980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4106980 is about 2026.5685283257. The cubic root of 4106980 is about 160.1428411895.

The spelling of 4106980 in words is "four million, one hundred six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 73 97 116 145 146 194 290 292 365 388 485 580 730 970 1460 1940 2117 2813 4234 5626 7081 8468 10585 11252 14065 14162 21170 28130 28324 35405 42340 56260 70810 141620 205349 410698 821396 1026745 2053490 4106980