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20286464 = 210111801
BaseRepresentation
bin100110101100…
…0110000000000
31102011122210112
41031120300000
520143131324
62002450452
7334301132
oct115306000
942148715
1020286464
11104a6580
126963a28
134283933
1429a1052
151baac0e
hex1358c00

20286464 has 44 divisors (see below), whose sum is σ = 44264328. Its totient is φ = 9216000.

The previous prime is 20286449. The next prime is 20286467. The reversal of 20286464 is 46468202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20286464.

It is not an unprimeable number, because it can be changed into a prime (20286467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10364 + ... + 12164.

Almost surely, 220286464 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 20286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22132164).

20286464 is an abundant number, since it is smaller than the sum of its proper divisors (23977864).

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

20286464 is a wasteful number, since it uses less digits than its factorization.

20286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 20286464 is about 4504.0497332956. The cubic root of 20286464 is about 272.7315944904.

The spelling of 20286464 in words is "twenty million, two hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1801 2816 3602 5632 7204 11264 14408 19811 28816 39622 57632 79244 115264 158488 230528 316976 461056 633952 922112 1267904 1844224 2535808 5071616 10143232 20286464