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20464256 = 272937149
BaseRepresentation
bin100111000010…
…0001010000000
31102111200200102
41032010022000
520214324011
62010341532
7335641361
oct116041200
942450612
1020464256
111060810a
126a2a8a8
134316837
142a09b68
151be373b
hex1384280

20464256 has 64 divisors (see below), whose sum is σ = 43605000. Its totient is φ = 9547776.

The previous prime is 20464237. The next prime is 20464267. The reversal of 20464256 is 65246402.

It can be written as a sum of positive squares in 4 ways, for example, as 17774656 + 2689600 = 4216^2 + 1640^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137270 + ... + 137418.

Almost surely, 220464256 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 20464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21802500).

20464256 is an abundant number, since it is smaller than the sum of its proper divisors (23140744).

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

20464256 is a wasteful number, since it uses less digits than its factorization.

20464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 20464256 is about 4523.7435824768. The cubic root of 20464256 is about 273.5260244813.

The spelling of 20464256 in words is "twenty million, four hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 149 232 296 298 464 592 596 928 1073 1184 1192 1856 2146 2368 2384 3712 4292 4321 4736 4768 5513 8584 8642 9536 11026 17168 17284 19072 22052 34336 34568 44104 68672 69136 88208 137344 138272 159877 176416 276544 319754 352832 553088 639508 705664 1279016 2558032 5116064 10232128 20464256