Search a number
-
+
21256368 = 2437411543
BaseRepresentation
bin101000100010…
…1100010110000
31110222221020220
41101011202300
520420200433
62035333040
7345450630
oct121054260
943887226
1021256368
1110aa9251
127151180
134533243
142b746c0
151ced2b3
hex14458b0

21256368 has 80 divisors (see below), whose sum is σ = 64329216. Its totient is φ = 5921280.

The previous prime is 21256331. The next prime is 21256369. The reversal of 21256368 is 86365212.

It is not an unprimeable number, because it can be changed into a prime (21256369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13005 + ... + 14547.

Almost surely, 221256368 is an apocalyptic number.

21256368 is a gapful number since it is divisible by the number (28) 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 21256368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32164608).

21256368 is an abundant number, since it is smaller than the sum of its proper divisors (43072848).

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

21256368 is a wasteful number, since it uses less digits than its factorization.

21256368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 21256368 is about 4610.4628834858. The cubic root of 21256368 is about 277.0105779519.

The spelling of 21256368 in words is "twenty-one million, two hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1543 1722 1968 2296 3086 3444 4592 4629 6172 6888 9258 10801 12344 13776 18516 21602 24688 32403 37032 43204 63263 64806 74064 86408 126526 129612 172816 189789 253052 259224 379578 442841 506104 518448 759156 885682 1012208 1328523 1518312 1771364 2657046 3036624 3542728 5314092 7085456 10628184 21256368