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3830966980 = 225316779127
BaseRepresentation
bin1110010001010111…
…1110101011000100
3100212222122021201221
43210111332223010
530321211420410
61432050530124
7163635452641
oct34425765304
910788567657
103830966980
111696532215
128aab96944
134908ba589
14284b12dc8
151764d64da
hexe457eac4

3830966980 has 48 divisors (see below), whose sum is σ = 8317725696. Its totient is φ = 1480602240.

The previous prime is 3830966969. The next prime is 3830966981. The reversal of 3830966980 is 896690383.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3830966981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415177 + ... + 424303.

It is an arithmetic number, because the mean of its divisors is an integer number (173285952).

Almost surely, 23830966980 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 3830966980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158862848).

3830966980 is an abundant number, since it is smaller than the sum of its proper divisors (4486758716).

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

3830966980 is a wasteful number, since it uses less digits than its factorization.

3830966980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The square root of 3830966980 is about 61894.8057594496. The cubic root of 3830966980 is about 1564.7182077606.

The spelling of 3830966980 in words is "three billion, eight hundred thirty million, nine hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 677 1354 2708 3385 6770 9127 13540 18254 20987 36508 41974 45635 83948 91270 104935 182540 209870 282937 419740 565874 1131748 1414685 2829370 5658740 6178979 12357958 24715916 30894895 61789790 123579580 191548349 383096698 766193396 957741745 1915483490 3830966980