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21742208 = 27592879
BaseRepresentation
bin101001011110…
…0001010000000
31111220121200222
41102330022000
521031222313
62054002212
7352543235
oct122741200
944817628
1021742208
1111300274
127346368
134673417
142c5d78c
151d97208
hex14bc280

21742208 has 32 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 10683136.

The previous prime is 21742207. The next prime is 21742211. The reversal of 21742208 is 80224712.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21742207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6113 + ... + 8991.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 221742208 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 21742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

21742208 is an abundant number, since it is smaller than the sum of its proper divisors (22321792).

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

21742208 is an equidigital number, since it uses as much as digits as its factorization.

21742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 21742208 is about 4662.8540616236. The cubic root of 21742208 is about 279.1051705438.

The spelling of 21742208 in words is "twenty-one million, seven hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 2879 3776 5758 7552 11516 23032 46064 92128 169861 184256 339722 368512 679444 1358888 2717776 5435552 10871104 21742208