Search a number
-
+
2064864 = 253137157
BaseRepresentation
bin111111000000111100000
310212220110110
413320013200
51012033424
6112131320
723360004
oct7700740
93786413
102064864
1111903aa
12836b40
13573b19
143ba704
152abc29
hex1f81e0

2064864 has 48 divisors (see below), whose sum is σ = 5494608. Its totient is φ = 678912.

The previous prime is 2064857. The next prime is 2064877. The reversal of 2064864 is 4684602.

2064864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13074 + ... + 13230.

It is an arithmetic number, because the mean of its divisors is an integer number (114471).

22064864 is an apocalyptic number.

2064864 is a gapful number since it is divisible by the number (24) 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 2064864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747304).

2064864 is an abundant number, since it is smaller than the sum of its proper divisors (3429744).

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

2064864 is a wasteful number, since it uses less digits than its factorization.

2064864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2064864 is about 1436.9634650888. The cubic root of 2064864 is about 127.3396985814.

The spelling of 2064864 in words is "two million, sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 157 274 314 411 471 548 628 822 942 1096 1256 1644 1884 2192 2512 3288 3768 4384 5024 6576 7536 13152 15072 21509 43018 64527 86036 129054 172072 258108 344144 516216 688288 1032432 2064864