Search a number
-
+
20864256 = 28373881
BaseRepresentation
bin100111110010…
…1110100000000
31110021000101020
41033211310000
520320124011
62023105440
7342225510
oct117456400
943230336
1020864256
1110860696
126ba2280
13442691a
142ab1840
151c72006
hex13e5d00

20864256 has 72 divisors (see below), whose sum is σ = 63478464. Its totient is φ = 5959680.

The previous prime is 20864231. The next prime is 20864281. The reversal of 20864256 is 65246802.

It is an interprime number because it is at equal distance from previous prime (20864231) and next prime (20864281).

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 7 ways as a sum of consecutive naturals, for example, 3436 + ... + 7316.

Almost surely, 220864256 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 20864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31739232).

20864256 is an abundant number, since it is smaller than the sum of its proper divisors (42614208).

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

20864256 is an equidigital number, since it uses as much as digits as its factorization.

20864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 20864256 is about 4567.7407982503. The cubic root of 20864256 is about 275.2966759677.

The spelling of 20864256 in words is "twenty million, eight hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3881 5376 7762 11643 15524 23286 27167 31048 46572 54334 62096 81501 93144 108668 124192 163002 186288 217336 248384 326004 372576 434672 496768 652008 745152 869344 993536 1304016 1490304 1738688 2608032 2980608 3477376 5216064 6954752 10432128 20864256