Search a number
-
+
3938067980 = 2257115574591
BaseRepresentation
bin1110101010111010…
…0010011000001100
3101011110011120200122
43222232202120030
531031121133410
61450434244112
7166406011520
oct35256423014
911143146618
103938067980
111740a33840
1291aa26638
134a9b49252
14295031d80
15180adee55
hexeaba260c

3938067980 has 96 divisors (see below), whose sum is σ = 10331338752. Its totient is φ = 1224979200.

The previous prime is 3938067977. The next prime is 3938067989. The reversal of 3938067980 is 897608393.

It is not an unprimeable number, because it can be changed into a prime (3938067989) 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, 855485 + ... + 860075.

It is an arithmetic number, because the mean of its divisors is an integer number (107618112).

Almost surely, 23938067980 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 3938067980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165669376).

3938067980 is an abundant number, since it is smaller than the sum of its proper divisors (6393270772).

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

3938067980 is a wasteful number, since it uses less digits than its factorization.

3938067980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The square root of 3938067980 is about 62754.0275998282. The cubic root of 3938067980 is about 1579.1658230847.

The spelling of 3938067980 in words is "three billion, nine hundred thirty-eight million, sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 557 770 1114 1540 2228 2785 3899 4591 5570 6127 7798 9182 11140 12254 15596 18364 19495 22955 24508 30635 32137 38990 42889 45910 50501 61270 64274 77980 85778 91820 101002 122540 128548 160685 171556 202004 214445 252505 321370 353507 428890 505010 642740 707014 857780 1010020 1414028 1767535 2557187 3535070 5114374 7070140 10228748 12785935 17900309 25571870 28129057 35800618 51143740 56258114 71601236 89501545 112516228 140645285 179003090 196903399 281290570 358006180 393806798 562581140 787613596 984516995 1969033990 3938067980