Search a number
-
+
21236256 = 25352731
BaseRepresentation
bin101000100000…
…0101000100000
31110221220200000
41101000220200
520414030011
62035100000
7345335166
oct121005040
943856600
1021236256
1110a95128
127141600
134527042
142b6b236
151ce7356
hex1440a20

21236256 has 72 divisors (see below), whose sum is σ = 62650224. Its totient is φ = 7076160.

The previous prime is 21236251. The next prime is 21236263. The reversal of 21236256 is 65263212.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21236251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6411 + ... + 9141.

It is an arithmetic number, because the mean of its divisors is an integer number (870142).

Almost surely, 221236256 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 21236256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31325112).

21236256 is an abundant number, since it is smaller than the sum of its proper divisors (41413968).

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

21236256 is an equidigital number, since it uses as much as digits as its factorization.

21236256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2736 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 21236256 is about 4608.2812414175. The cubic root of 21236256 is about 276.9231846153.

Adding to 21236256 its reverse (65263212), we get a palindrome (86499468).

The spelling of 21236256 in words is "twenty-one million, two hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 2731 3888 5462 7776 8193 10924 16386 21848 24579 32772 43696 49158 65544 73737 87392 98316 131088 147474 196632 221211 262176 294948 393264 442422 589896 663633 786528 884844 1179792 1327266 1769688 2359584 2654532 3539376 5309064 7078752 10618128 21236256