Search a number
-
+
3820716 = 2233172081
BaseRepresentation
bin1110100100110010101100
321012010001000
432210302230
51434230331
6213520300
744322054
oct16446254
97163030
103820716
11217a619
121343090
13a3a0a3
14716564
155070e6
hex3a4cac

3820716 has 48 divisors (see below), whose sum is σ = 10493280. Its totient is φ = 1198080.

The previous prime is 3820711. The next prime is 3820727. The reversal of 3820716 is 6170283.

3820716 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3820716.

It is not an unprimeable number, because it can be changed into a prime (3820711) by changing a digit.

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, 796 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (218610).

Almost surely, 23820716 is an apocalyptic number.

3820716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246640).

3820716 is an abundant number, since it is smaller than the sum of its proper divisors (6672564).

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

3820716 is a wasteful number, since it uses less digits than its factorization.

3820716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3820716 is about 1954.6651887216. The cubic root of 3820716 is about 156.3321326062.

Adding to 3820716 its reverse (6170283), we get a palindrome (9990999).

The spelling of 3820716 in words is "three million, eight hundred twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 2081 4162 6243 8324 12486 18729 24972 35377 37458 56187 70754 74916 106131 112374 141508 212262 224748 318393 424524 636786 955179 1273572 1910358 3820716