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21416416 = 257671427
BaseRepresentation
bin101000110110…
…0100111100000
31111022001210121
41101230213200
520440311131
62043010024
7350015350
oct121544740
944261717
1021416416
11110a851a
127209914
13458b048
142bb6b60
151d30911
hex146c9e0

21416416 has 48 divisors (see below), whose sum is σ = 48940416. Its totient is φ = 9035136.

The previous prime is 21416411. The next prime is 21416431. The reversal of 21416416 is 61461412.

It is a super-3 number, since 3×214164163 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21416411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14295 + ... + 15721.

It is an arithmetic number, because the mean of its divisors is an integer number (1019592).

Almost surely, 221416416 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 21416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24470208).

21416416 is an abundant number, since it is smaller than the sum of its proper divisors (27524000).

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

21416416 is a wasteful number, since it uses less digits than its factorization.

21416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1503 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 21416416 is about 4627.7873762739. The cubic root of 21416416 is about 277.7040827555.

Adding to 21416416 its reverse (61461412), we get a palindrome (82877828).

The spelling of 21416416 in words is "twenty-one million, four hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1427 1876 2144 2854 3752 5708 7504 9989 11416 15008 19978 22832 39956 45664 79912 95609 159824 191218 319648 382436 669263 764872 1338526 1529744 2677052 3059488 5354104 10708208 21416416