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21748064 = 2513232273
BaseRepresentation
bin101001011110…
…1100101100000
31111220220201212
41102331211200
521031414224
62054045252
7352566302
oct122754540
944826655
1021748064
1111304708
127349828
134675ca0
142c61972
151d98d0e
hex14bd960

21748064 has 48 divisors (see below), whose sum is σ = 48136032. Its totient is φ = 9596928.

The previous prime is 21748063. The next prime is 21748091. The reversal of 21748064 is 46084712.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 21748064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21748061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8432 + ... + 10704.

It is an arithmetic number, because the mean of its divisors is an integer number (1002834).

Almost surely, 221748064 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 21748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24068016).

21748064 is an abundant number, since it is smaller than the sum of its proper divisors (26387968).

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

21748064 is a wasteful number, since it uses less digits than its factorization.

21748064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 21748064 is about 4663.4819609386. The cubic root of 21748064 is about 279.1302261586.

The spelling of 21748064 in words is "twenty-one million, seven hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2273 2392 4546 4784 9092 9568 18184 29549 36368 52279 59098 72736 104558 118196 209116 236392 418232 472784 679627 836464 945568 1359254 1672928 2718508 5437016 10874032 21748064