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3982220 = 2251123787
BaseRepresentation
bin1111001100001110001100
321111022120122
433030032030
52004412340
6221204112
745563654
oct17141614
97438518
103982220
11227a9a0
121400638
13a95758
14759364
15539db5
hex3cc38c

3982220 has 48 divisors (see below), whose sum is σ = 9531648. Its totient is φ = 1383360.

The previous prime is 3982201. The next prime is 3982247. The reversal of 3982220 is 222893.

3982220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39822202 = 31716152256800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3982220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4667 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (198576).

Almost surely, 23982220 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 3982220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765824).

3982220 is an abundant number, since it is smaller than the sum of its proper divisors (5549428).

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

3982220 is a wasteful number, since it uses less digits than its factorization.

3982220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3982220 is about 1995.5500494851. The cubic root of 3982220 is about 158.5045559233.

The spelling of 3982220 in words is "three million, nine hundred eighty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 787 1012 1265 1574 2530 3148 3935 5060 7870 8657 15740 17314 18101 34628 36202 43285 72404 86570 90505 173140 181010 199111 362020 398222 796444 995555 1991110 3982220