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4068064 = 2571113127
BaseRepresentation
bin1111100001001011100000
321122200100001
433201023200
52020134224
6223105344
746402150
oct17411340
97580301
104068064
112329440
121442254
13ac5850
1477c760
15555544
hex3e12e0

4068064 has 96 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 1451520.

The previous prime is 4068047. The next prime is 4068073. The reversal of 4068064 is 4608604.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

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, 31969 + ... + 32095.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

Almost surely, 24068064 is an apocalyptic number.

4068064 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 4068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

4068064 is an abundant number, since it is smaller than the sum of its proper divisors (6769952).

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

4068064 is a wasteful number, since it uses less digits than its factorization.

4068064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4068064 is about 2016.9442233240. The cubic root of 4068064 is about 159.6354198894.

The spelling of 4068064 in words is "four million, sixty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 127 143 154 176 182 208 224 254 286 308 352 364 416 508 572 616 728 889 1001 1016 1144 1232 1397 1456 1651 1778 2002 2032 2288 2464 2794 2912 3302 3556 4004 4064 4576 5588 6604 7112 8008 9779 11176 11557 13208 14224 16016 18161 19558 22352 23114 26416 28448 32032 36322 39116 44704 46228 52832 72644 78232 92456 127127 145288 156464 184912 254254 290576 312928 369824 508508 581152 1017016 2034032 4068064