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21730848 = 253534271
BaseRepresentation
bin101001011100…
…1011000100000
31111220001010020
41102321120200
521030341343
62053433440
7352465146
oct122713040
944801106
1021730848
11112a2787
12733b880
13466b1b9
142c59596
151d93b83
hex14b9620

21730848 has 48 divisors (see below), whose sum is σ = 58133376. Its totient is φ = 7105280.

The previous prime is 21730829. The next prime is 21730853. The reversal of 21730848 is 84803712.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2953 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (1211112).

Almost surely, 221730848 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 21730848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29066688).

21730848 is an abundant number, since it is smaller than the sum of its proper divisors (36402528).

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

21730848 is a wasteful number, since it uses less digits than its factorization.

21730848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 21730848 is about 4661.6357644072. The cubic root of 21730848 is about 279.0565525577.

It can be divided in two parts, 21730 and 848, that added together give a triangular number (22578 = T212).

The spelling of 21730848 in words is "twenty-one million, seven hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 4271 5088 8542 12813 17084 25626 34168 51252 68336 102504 136672 205008 226363 410016 452726 679089 905452 1358178 1810904 2716356 3621808 5432712 7243616 10865424 21730848