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21071128 = 2313232383
BaseRepresentation
bin101000001100…
…0010100011000
31110122112011011
41100120110120
520343234003
62031343304
7344046601
oct120302430
943575134
1021071128
1110992061
127081b34
134499b30
142b26da8
151cb346d
hex1418518

21071128 has 48 divisors (see below), whose sum is σ = 44593920. Its totient is φ = 9278016.

The previous prime is 21071123. The next prime is 21071137. The reversal of 21071128 is 82117012.

It is a junction number, because it is equal to n+sod(n) for n = 21071099 and 21071108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21071123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54825 + ... + 55207.

It is an arithmetic number, because the mean of its divisors is an integer number (929040).

Almost surely, 221071128 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 21071128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296960).

21071128 is an abundant number, since it is smaller than the sum of its proper divisors (23522792).

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

21071128 is a wasteful number, since it uses less digits than its factorization.

21071128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 21071128 is about 4590.3298356436. The cubic root of 21071128 is about 276.2035535434.

The spelling of 21071128 in words is "twenty-one million, seventy-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 383 529 598 766 1058 1196 1532 2116 2392 3064 4232 4979 6877 8809 9958 13754 17618 19916 27508 35236 39832 55016 70472 114517 202607 229034 405214 458068 810428 916136 1620856 2633891 5267782 10535564 21071128