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3970760 = 235531873
BaseRepresentation
bin1111001001011011001000
321110201212012
433021123020
52004031020
6221035052
745515363
oct17113310
97421765
103970760
112272322
1213b5a88
13a90481
147550da
155367c5
hex3c96c8

3970760 has 32 divisors (see below), whose sum is σ = 9107640. Its totient is φ = 1557504.

The previous prime is 3970751. The next prime is 3970763. The reversal of 3970760 is 670793.

3970760 = T219 + T220 + ... + T324.

3970760 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 4 ways, for example, as 2477476 + 1493284 = 1574^2 + 1222^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3970763) 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 7 ways as a sum of consecutive naturals, for example, 1184 + ... + 3056.

Almost surely, 23970760 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 3970760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553820).

3970760 is an abundant number, since it is smaller than the sum of its proper divisors (5136880).

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

3970760 is a wasteful number, since it uses less digits than its factorization.

3970760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 3970760 is about 1992.6765919235. The cubic root of 3970760 is about 158.3523621328.

The spelling of 3970760 in words is "three million, nine hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1873 2120 3746 7492 9365 14984 18730 37460 74920 99269 198538 397076 496345 794152 992690 1985380 3970760