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4106104020 = 2232522811689
BaseRepresentation
bin1111010010111110…
…0010110011010100
3101121011100200210200
43310233202303110
531402130312040
61515240020500
7203516210514
oct36457426324
911534320720
104106104020
1118178747a7
12967161730
135058c1665
142ad493844
15190733630
hexf4be2cd4

4106104020 has 36 divisors (see below), whose sum is σ = 12455182740. Its totient is φ = 1094961024.

The previous prime is 4106103973. The next prime is 4106104043. The reversal of 4106104020 is 204016014.

4106104020 is a `hidden beast` number, since 4 + 10 + 610 + 40 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1160219844 + 2945884176 = 34062^2 + 54276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4106103984 and 4106104002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11405665 + ... + 11406024.

Almost surely, 24106104020 is an apocalyptic number.

It is an amenable number.

4106104020 is an abundant number, since it is smaller than the sum of its proper divisors (8349078720).

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

4106104020 is a wasteful number, since it uses less digits than its factorization.

4106104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22811704 (or 22811699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4106104020 is about 64078.8890353133. The cubic root of 4106104020 is about 1601.3145472868.

The spelling of 4106104020 in words is "four billion, one hundred six million, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22811689 45623378 68435067 91246756 114058445 136870134 205305201 228116890 273740268 342175335 410610402 456233780 684350670 821220804 1026526005 1368701340 2053052010 4106104020