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4106503660 = 2257313133023
BaseRepresentation
bin1111010011000100…
…0100010111101100
3101121012010000000011
43310301010113230
531402231104120
61515252343004
7203522463610
oct36461042754
911535100004
104106503660
111818017a86
12967314a64
13505a0152c
142ad559340
151907b1c5a
hexf4c445ec

4106503660 has 96 divisors (see below), whose sum is σ = 10209411072. Its totient is φ = 1357724160.

The previous prime is 4106503657. The next prime is 4106503669. The reversal of 4106503660 is 663056014.

4106503660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4106503669) 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, 1356909 + ... + 1359931.

It is an arithmetic number, because the mean of its divisors is an integer number (106348032).

Almost surely, 24106503660 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 4106503660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104705536).

4106503660 is an abundant number, since it is smaller than the sum of its proper divisors (6102907412).

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

4106503660 is a wasteful number, since it uses less digits than its factorization.

4106503660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 4106503660 is about 64082.0073031424. The cubic root of 4106503660 is about 1601.3664966596.

Adding to 4106503660 its reverse (663056014), we get a palindrome (4769559674).

The spelling of 4106503660 in words is "four billion, one hundred six million, five hundred three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 313 434 620 626 868 1085 1252 1565 2170 2191 3023 3130 4340 4382 6046 6260 8764 9703 10955 12092 15115 19406 21161 21910 30230 38812 42322 43820 48515 60460 67921 84644 93713 97030 105805 135842 187426 194060 211610 271684 339605 374852 423220 468565 655991 679210 937130 946199 1311982 1358420 1874260 1892398 2623964 3279955 3784796 4730995 6559910 6623393 9461990 13119820 13246786 18923980 26493572 29332169 33116965 58664338 66233930 117328676 132467860 146660845 205325183 293321690 410650366 586643380 821300732 1026625915 2053251830 4106503660