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21119616 = 2735797
BaseRepresentation
bin101000010010…
…0001010000000
31110201222200000
41100210022000
520401311431
62032400000
7344341140
oct120441200
943658600
1021119616
1110a15531
1270a6000
1344b5c1b
142b3a920
151cc29e6
hex1424280

21119616 has 192 divisors, whose sum is σ = 72770880. Its totient is φ = 5971968.

The previous prime is 21119561. The next prime is 21119617. The reversal of 21119616 is 61691112.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21119616.

It is not an unprimeable number, because it can be changed into a prime (21119617) 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, 217680 + ... + 217776.

It is an arithmetic number, because the mean of its divisors is an integer number (379015).

Almost surely, 221119616 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 21119616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36385440).

21119616 is an abundant number, since it is smaller than the sum of its proper divisors (51651264).

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

21119616 is an frugal number, since it uses more digits than its factorization.

21119616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 21119616 is about 4595.6083384031. The cubic root of 21119616 is about 276.4152539362.

The spelling of 21119616 in words is "twenty-one million, one hundred nineteen thousand, six hundred sixteen".