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3712820 = 225185641
BaseRepresentation
bin1110001010011100110100
320222122000212
432022130310
51422302240
6211324552
743362356
oct16123464
96878025
103712820
112106551
1212b0758
139ccc47
146c90d6
154d5165
hex38a734

3712820 has 12 divisors (see below), whose sum is σ = 7796964. Its totient is φ = 1485120.

The previous prime is 3712801. The next prime is 3712823. The reversal of 3712820 is 282173.

3712820 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 2 ways, for example, as 2676496 + 1036324 = 1636^2 + 1018^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712823) 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 3 ways as a sum of consecutive naturals, for example, 92801 + ... + 92840.

It is an arithmetic number, because the mean of its divisors is an integer number (649747).

Almost surely, 23712820 is an apocalyptic number.

It is an amenable number.

3712820 is an abundant number, since it is smaller than the sum of its proper divisors (4084144).

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

3712820 is a wasteful number, since it uses less digits than its factorization.

3712820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185650 (or 185648 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 3712820 is about 1926.8679248978. The cubic root of 3712820 is about 154.8464660746.

Adding to 3712820 its reverse (282173), we get a palindrome (3994993).

The spelling of 3712820 in words is "three million, seven hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 185641 371282 742564 928205 1856410 3712820