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21251664 = 2432729727
BaseRepresentation
bin101000100010…
…0011001010000
31110222200210200
41101010121100
520420023124
62035255200
7345431130
oct121043120
943880720
1021251664
1110aa5765
12714a500
134531065
142b72ac0
151cebbc9
hex1444650

21251664 has 120 divisors (see below), whose sum is σ = 70412160. Its totient is φ = 5854464.

The previous prime is 21251617. The next prime is 21251669. The reversal of 21251664 is 46615212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21251669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28869 + ... + 29595.

It is an arithmetic number, because the mean of its divisors is an integer number (586768).

Almost surely, 221251664 is an apocalyptic number.

21251664 is a gapful number since it is divisible by the number (24) 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 21251664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206080).

21251664 is an abundant number, since it is smaller than the sum of its proper divisors (49160496).

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

21251664 is a wasteful number, since it uses less digits than its factorization.

21251664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 21251664 is about 4609.9527112542. The cubic root of 21251664 is about 276.9901424461.

Adding to 21251664 its reverse (46615212), we get a palindrome (67866876).

The spelling of 21251664 in words is "twenty-one million, two hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 727 812 1008 1044 1218 1392 1454 1624 1827 2088 2181 2436 2908 3248 3654 4176 4362 4872 5089 5816 6543 7308 8724 9744 10178 11632 13086 14616 15267 17448 20356 21083 26172 29232 30534 34896 40712 42166 45801 52344 61068 63249 81424 84332 91602 104688 122136 126498 147581 168664 183204 189747 244272 252996 295162 337328 366408 379494 442743 505992 590324 732816 758988 885486 1011984 1180648 1328229 1517976 1770972 2361296 2656458 3035952 3541944 5312916 7083888 10625832 21251664