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21254464 = 2671119227
BaseRepresentation
bin101000100010…
…1000101000000
31110222211122101
41101011011000
520420120324
62035320144
7345442240
oct121050500
943884571
1021254464
1110aa7880
127150054
13453240a
142b73b20
151cec944
hex1445140

21254464 has 112 divisors (see below), whose sum is σ = 55595520. Its totient is φ = 7810560.

The previous prime is 21254459. The next prime is 21254491. The reversal of 21254464 is 46445212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 93519 + ... + 93745.

Almost surely, 221254464 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 21254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797760).

21254464 is an abundant number, since it is smaller than the sum of its proper divisors (34341056).

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

21254464 is a wasteful number, since it uses less digits than its factorization.

21254464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 21254464 is about 4610.2563920025. The cubic root of 21254464 is about 277.0023068009.

Adding to 21254464 its reverse (46445212), we get a palindrome (67699676).

The spelling of 21254464 in words is "twenty-one million, two hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 227 266 304 308 352 418 448 454 532 608 616 704 836 908 1064 1216 1232 1463 1589 1672 1816 2128 2464 2497 2926 3178 3344 3632 4256 4313 4928 4994 5852 6356 6688 7264 8512 8626 9988 11704 12712 13376 14528 17252 17479 19976 23408 25424 30191 34504 34958 39952 46816 47443 50848 60382 69008 69916 79904 93632 94886 101696 120764 138016 139832 159808 189772 241528 276032 279664 332101 379544 483056 559328 664202 759088 966112 1118656 1328404 1518176 1932224 2656808 3036352 5313616 10627232 21254464