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4106437020 = 22335723149317
BaseRepresentation
bin1111010011000011…
…0100000110011100
3101121011222121121000
43310300310012130
531402221441040
61515251110300
7203522065410
oct36460640634
911534877530
104106437020
111817a81a04
129672a2390
135059aa0ba
142ad53cd40
1519079c130
hexf4c3419c

4106437020 has 384 divisors, whose sum is σ = 15386112000. Its totient is φ = 888966144.

The previous prime is 4106437019. The next prime is 4106437021. The reversal of 4106437020 is 207346014.

4106437020 is a `hidden beast` number, since 4 + 10 + 643 + 7 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4106437019) and next prime (4106437021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106437021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12953902 + ... + 12954218.

It is an arithmetic number, because the mean of its divisors is an integer number (40068000).

Almost surely, 24106437020 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 4106437020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693056000).

4106437020 is an abundant number, since it is smaller than the sum of its proper divisors (11279674980).

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

4106437020 is a wasteful number, since it uses less digits than its factorization.

4106437020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4106437020 is about 64081.4873422894. The cubic root of 4106437020 is about 1601.3578343319.

The spelling of 4106437020 in words is "four billion, one hundred six million, four hundred thirty-seven thousand, twenty".