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21442080 = 25351131131
BaseRepresentation
bin101000111001…
…0111000100000
31111100101000010
41101302320200
520442121310
62043324520
7350153232
oct121627040
944311003
1021442080
1111115830
127220740
13459992a
142bc2252
151d38320
hex1472e20

21442080 has 192 divisors, whose sum is σ = 76640256. Its totient is φ = 4992000.

The previous prime is 21442073. The next prime is 21442081. The reversal of 21442080 is 8024412.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21442081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163615 + ... + 163745.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 221442080 is an apocalyptic number.

21442080 is a gapful number since it is divisible by the number (20) 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 21442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320128).

21442080 is an abundant number, since it is smaller than the sum of its proper divisors (55198176).

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

21442080 is a wasteful number, since it uses less digits than its factorization.

21442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 21442080 is about 4630.5593614595. The cubic root of 21442080 is about 277.8149658063.

Adding to 21442080 its reverse (8024412), we get a palindrome (29466492).

It can be divided in two parts, 2144 and 2080, that added together give a palindrome (4224).

The spelling of 21442080 in words is "twenty-one million, four hundred forty-two thousand, eighty".