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4064060 = 22572111329
BaseRepresentation
bin1111100000001100111100
321122110211202
433200030330
52020022220
6223035032
746354400
oct17401474
97573752
104064060
112326430
12143ba78
13ac3a90
1477b100
15554275
hex3e033c

4064060 has 144 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1128960.

The previous prime is 4064051. The next prime is 4064083. The reversal of 4064060 is 604604.

4064060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 140126 + ... + 140154.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 24064060 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 4064060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4064060 is an abundant number, since it is smaller than the sum of its proper divisors (8001700).

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

4064060 is a wasteful number, since it uses less digits than its factorization.

4064060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4064060 is about 2015.9513883028. The cubic root of 4064060 is about 159.5830288715.

4064060 divided by its sum of digits (20) gives a triangular number (203203 = T637).

Adding to 4064060 its reverse (604604), we get a palindrome (4668664).

The spelling of 4064060 in words is "four million, sixty-four thousand, sixty", and thus it is an eban number.

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 29 35 44 49 52 55 58 65 70 77 91 98 110 116 130 140 143 145 154 182 196 203 220 245 260 286 290 308 319 364 377 385 406 455 490 539 572 580 637 638 715 754 770 812 910 980 1001 1015 1078 1274 1276 1421 1430 1508 1540 1595 1820 1885 2002 2030 2156 2233 2548 2639 2695 2842 2860 3185 3190 3770 4004 4060 4147 4466 5005 5278 5390 5684 6370 6380 7007 7105 7540 8294 8932 10010 10556 10780 11165 12740 13195 14014 14210 15631 16588 18473 20020 20735 22330 26390 28028 28420 29029 31262 35035 36946 41470 44660 52780 58058 62524 70070 73892 78155 82940 92365 116116 140140 145145 156310 184730 203203 290290 312620 369460 406406 580580 812812 1016015 2032030 4064060