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21325416 = 2337235519
BaseRepresentation
bin101000101011…
…0011001101000
31111010102222020
41101112121220
520424403131
62041024440
7346156140
oct121263150
944112866
1021325416
1111046112
127185120
1345587b8
142b91920
151d13996
hex1456668

21325416 has 64 divisors (see below), whose sum is σ = 63590400. Its totient is φ = 5827008.

The previous prime is 21325397. The next prime is 21325433. The reversal of 21325416 is 61452312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 1105 + ... + 6623.

It is an arithmetic number, because the mean of its divisors is an integer number (993600).

Almost surely, 221325416 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 21325416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31795200).

21325416 is an abundant number, since it is smaller than the sum of its proper divisors (42264984).

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

21325416 is a wasteful number, since it uses less digits than its factorization.

21325416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5554 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 21325416 is about 4617.9449975070. The cubic root of 21325416 is about 277.3101956679.

Adding to 21325416 its reverse (61452312), we get a palindrome (82777728).

The spelling of 21325416 in words is "twenty-one million, three hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 5519 11038 16557 22076 33114 38633 44152 66228 77266 115899 126937 132456 154532 231798 253874 309064 380811 463596 507748 761622 888559 927192 1015496 1523244 1777118 2665677 3046488 3554236 5331354 7108472 10662708 21325416