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4106364020 = 22511411373323
BaseRepresentation
bin1111010011000010…
…0010010001110100
3101121011211220110022
43310300202101310
531402212122040
61515245344312
7203521342523
oct36460422164
911534756408
104106364020
111817a32080
12967268098
13505982ac5
142ad5204ba
151907856b5
hexf4c22474

4106364020 has 96 divisors (see below), whose sum is σ = 9710015616. Its totient is φ = 1445734400.

The previous prime is 4106363981. The next prime is 4106364029. The reversal of 4106364020 is 204636014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106364029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234079 + ... + 1237401.

It is an arithmetic number, because the mean of its divisors is an integer number (101145996).

Almost surely, 24106364020 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 4106364020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855007808).

4106364020 is an abundant number, since it is smaller than the sum of its proper divisors (5603651596).

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

4106364020 is a wasteful number, since it uses less digits than its factorization.

4106364020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 4106364020 is about 64080.9177524792. The cubic root of 4106364020 is about 1601.3483451799.

The spelling of 4106364020 in words is "four billion, one hundred six million, three hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 137 164 205 220 274 410 451 548 685 820 902 1370 1507 1804 2255 2740 3014 3323 4510 5617 6028 6646 7535 9020 11234 13292 15070 16615 22468 28085 30140 33230 36553 56170 61787 66460 73106 112340 123574 136243 146212 182765 247148 272486 308935 365530 455251 544972 617870 681215 731060 910502 1235740 1362430 1498673 1821004 2276255 2724860 2997346 4552510 5007761 5994692 7493365 9105020 10015522 14986730 18665291 20031044 25038805 29973460 37330582 50077610 74661164 93326455 100155220 186652910 205318201 373305820 410636402 821272804 1026591005 2053182010 4106364020