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3866145700 = 2252732332273
BaseRepresentation
bin1110011001110000…
…1011001110100100
3100222102211112212111
43212130023032210
530404213130300
61435344530404
7164543460544
oct34634131644
910872745774
103866145700
11170437a53a
128ba920a04
13497c867a1
1428966d324
151796349ba
hexe670b3a4

3866145700 has 72 divisors (see below), whose sum is σ = 8544718728. Its totient is φ = 1518059520.

The previous prime is 3866145697. The next prime is 3866145709. The reversal of 3866145700 is 75416683.

It is a happy number.

3866145700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 688117824 + 3178027876 = 26232^2 + 56374^2 .

It is not an unprimeable number, because it can be changed into a prime (3866145709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699764 + ... + 1702036.

It is an arithmetic number, because the mean of its divisors is an integer number (118676649).

Almost surely, 23866145700 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 3866145700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272359364).

3866145700 is an abundant number, since it is smaller than the sum of its proper divisors (4678573028).

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

3866145700 is a wasteful number, since it uses less digits than its factorization.

3866145700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 3866145700 is about 62178.3378677816. The cubic root of 3866145700 is about 1569.4930815069.

The spelling of 3866145700 in words is "three billion, eight hundred sixty-six million, one hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 233 292 365 466 730 932 1165 1460 1825 2273 2330 3650 4546 4660 5825 7300 9092 11365 11650 17009 22730 23300 34018 45460 56825 68036 85045 113650 165929 170090 227300 331858 340180 425225 529609 663716 829645 850450 1059218 1659290 1700900 2118436 2648045 3318580 4148225 5296090 8296450 10592180 13240225 16592900 26480450 38661457 52960900 77322914 154645828 193307285 386614570 773229140 966536425 1933072850 3866145700