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4040064 = 27337167
BaseRepresentation
bin1111011010010110000000
321121020221000
433122112000
52013240224
6222332000
746224420
oct17322600
97536830
104040064
11230a3a6
12142a000
13ab5b92
14772480
1554c0c9
hex3da580

4040064 has 128 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1147392.

The previous prime is 4040059. The next prime is 4040083. The reversal of 4040064 is 4600404.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24109 + ... + 24275.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

Almost surely, 24040064 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 4040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

4040064 is an abundant number, since it is smaller than the sum of its proper divisors (9668736).

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

4040064 is a wasteful number, since it uses less digits than its factorization.

4040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4040064 is about 2009.9910447562. The cubic root of 4040064 is about 159.2683258478.

Adding to 4040064 its reverse (4600404), we get a palindrome (8640468).

It can be divided in two parts, 40 and 40064, that added together give a palindrome (40104).

The spelling of 4040064 in words is "four million, forty thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 167 168 189 192 216 224 252 288 334 336 378 384 432 448 501 504 576 668 672 756 864 896 1002 1008 1152 1169 1336 1344 1503 1512 1728 2004 2016 2338 2672 2688 3006 3024 3456 3507 4008 4032 4509 4676 5344 6012 6048 7014 8016 8064 9018 9352 10521 10688 12024 12096 14028 16032 18036 18704 21042 21376 24048 24192 28056 31563 32064 36072 37408 42084 48096 56112 63126 64128 72144 74816 84168 96192 112224 126252 144288 149632 168336 192384 224448 252504 288576 336672 448896 505008 577152 673344 1010016 1346688 2020032 4040064