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4002064 = 241122739
BaseRepresentation
bin1111010001000100010000
321112022210121
433101010100
52011031224
6221440024
746005553
oct17210420
97468717
104002064
1122938a0
121410014
13aa17b1
1476269a
15540be4
hex3d1110

4002064 has 20 divisors (see below), whose sum is σ = 8459280. Its totient is φ = 1819040.

The previous prime is 4002049. The next prime is 4002067. The reversal of 4002064 is 4602004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4002067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11194 + ... + 11545.

It is an arithmetic number, because the mean of its divisors is an integer number (422964).

Almost surely, 24002064 is an apocalyptic number.

4002064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4002064 is an abundant number, since it is smaller than the sum of its proper divisors (4457216).

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

4002064 is a wasteful number, since it uses less digits than its factorization.

4002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22758 (or 22752 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4002064 is about 2000.5159334532. The cubic root of 4002064 is about 158.7674038001.

Adding to 4002064 its reverse (4602004), we get a palindrome (8604068).

The spelling of 4002064 in words is "four million, two thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 11 16 22 44 88 176 22739 45478 90956 181912 250129 363824 500258 1000516 2001032 4002064