Search a number
-
+
2064768 = 27319283
BaseRepresentation
bin111111000000110000000
310212220022220
413320012000
51012033033
6112131040
723356506
oct7700600
93786286
102064768
111190322
12836a80
13573a74
143ba676
152abbb3
hex1f8180

2064768 has 64 divisors (see below), whose sum is σ = 5793600. Its totient is φ = 649728.

The previous prime is 2064767. The next prime is 2064781. The reversal of 2064768 is 8674602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7155 + ... + 7437.

It is an arithmetic number, because the mean of its divisors is an integer number (90525).

22064768 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 2064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896800).

2064768 is an abundant number, since it is smaller than the sum of its proper divisors (3728832).

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

2064768 is a wasteful number, since it uses less digits than its factorization.

2064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2064768 is about 1436.9300609285. The cubic root of 2064768 is about 127.3377251180.

The spelling of 2064768 in words is "two million, sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 283 304 384 456 566 608 849 912 1132 1216 1698 1824 2264 2432 3396 3648 4528 5377 6792 7296 9056 10754 13584 16131 18112 21508 27168 32262 36224 43016 54336 64524 86032 108672 129048 172064 258096 344128 516192 688256 1032384 2064768