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21072128 = 287111069
BaseRepresentation
bin101000001100…
…0100100000000
31110122120112012
41100120210000
520343302003
62031352052
7344052530
oct120304400
943576465
1021072128
1110992890
127082628
13449a41c
142b274c0
151cb38d8
hex1418900

21072128 has 72 divisors (see below), whose sum is σ = 52489920. Its totient is φ = 8202240.

The previous prime is 21072113. The next prime is 21072131. The reversal of 21072128 is 82127012.

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, 19178 + ... + 20246.

Almost surely, 221072128 is an apocalyptic number.

21072128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26244960).

21072128 is an abundant number, since it is smaller than the sum of its proper divisors (31417792).

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

21072128 is a wasteful number, since it uses less digits than its factorization.

21072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 21072128 is about 4590.4387589859. The cubic root of 21072128 is about 276.2079228584.

The spelling of 21072128 in words is "twenty-one million, seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1069 1232 1408 1792 2138 2464 2816 4276 4928 7483 8552 9856 11759 14966 17104 19712 23518 29932 34208 47036 59864 68416 82313 94072 119728 136832 164626 188144 239456 273664 329252 376288 478912 658504 752576 957824 1317008 1505152 1915648 2634016 3010304 5268032 10536064 21072128