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4013064 = 233411563
BaseRepresentation
bin1111010011110000001000
321112212220000
433103300020
52011404224
6222003000
746052616
oct17236010
97485800
104013064
1122a1090
121416460
13aa67c3
147666b6
155440c9
hex3d3c08

4013064 has 80 divisors (see below), whose sum is σ = 12283920. Its totient is φ = 1213920.

The previous prime is 4013059. The next prime is 4013089. The reversal of 4013064 is 4603104.

It is a super-2 number, since 2×40130642 = 32209365336192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6847 + ... + 7409.

It is an arithmetic number, because the mean of its divisors is an integer number (153549).

Almost surely, 24013064 is an apocalyptic number.

4013064 is a gapful number since it is divisible by the number (44) 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 4013064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141960).

4013064 is an abundant number, since it is smaller than the sum of its proper divisors (8270856).

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

4013064 is a wasteful number, since it uses less digits than its factorization.

4013064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4013064 is about 2003.2633376568. The cubic root of 4013064 is about 158.9127324606.

Adding to 4013064 its reverse (4603104), we get a palindrome (8616168).

The spelling of 4013064 in words is "four million, thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 563 594 648 792 891 1126 1188 1689 1782 2252 2376 3378 3564 4504 5067 6193 6756 7128 10134 12386 13512 15201 18579 20268 24772 30402 37158 40536 45603 49544 55737 60804 74316 91206 111474 121608 148632 167211 182412 222948 334422 364824 445896 501633 668844 1003266 1337688 2006532 4013064