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21112728 = 23372131381
BaseRepresentation
bin101000010001…
…0011110011000
31110201122012220
41100202132120
520401101403
62032304040
7344312100
oct120423630
943648186
1021112728
1110a1033a
1270a2020
1344b2a50
142b38200
151cc0953
hex1422798

21112728 has 96 divisors (see below), whose sum is σ = 66170160. Its totient is φ = 5564160.

The previous prime is 21112727. The next prime is 21112733. The reversal of 21112728 is 82721112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21112698 and 21112707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14598 + ... + 15978.

Almost surely, 221112728 is an apocalyptic number.

21112728 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 21112728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33085080).

21112728 is an abundant number, since it is smaller than the sum of its proper divisors (45057432).

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

21112728 is a wasteful number, since it uses less digits than its factorization.

21112728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1406 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 21112728 is about 4594.8588661677. The cubic root of 21112728 is about 276.3852004337.

The spelling of 21112728 in words is "twenty-one million, one hundred twelve thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1381 1911 2184 2548 2762 3822 4143 5096 5524 7644 8286 9667 11048 15288 16572 17953 19334 29001 33144 35906 38668 53859 58002 67669 71812 77336 107718 116004 125671 135338 143624 203007 215436 232008 251342 270676 377013 406014 430872 502684 541352 754026 812028 879697 1005368 1508052 1624056 1759394 2639091 3016104 3518788 5278182 7037576 10556364 21112728