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3970728 = 233331593
BaseRepresentation
bin1111001001011010101000
321110201211000
433021122220
52004030403
6221035000
745515316
oct17113250
97421730
103970728
1122722a3
1213b5a60
13a90458
147550b6
155367a3
hex3c96a8

3970728 has 64 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 1278720.

The previous prime is 3970723. The next prime is 3970739. The reversal of 3970728 is 8270793.

3970728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3970692 and 3970701.

It is not an unprimeable number, because it can be changed into a prime (3970723) 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, 6400 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

Almost surely, 23970728 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 3970728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

3970728 is an abundant number, since it is smaller than the sum of its proper divisors (7434072).

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

3970728 is a wasteful number, since it uses less digits than its factorization.

3970728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3970728 is about 1992.6685625061. The cubic root of 3970728 is about 158.3519367492.

The spelling of 3970728 in words is "three million, nine hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 593 744 837 1116 1186 1674 1779 2232 2372 3348 3558 4744 5337 6696 7116 10674 14232 16011 18383 21348 32022 36766 42696 55149 64044 73532 110298 128088 147064 165447 220596 330894 441192 496341 661788 992682 1323576 1985364 3970728