Search a number
-
+
21740628 = 22371343463
BaseRepresentation
bin101001011101…
…1110001010100
31111220112112110
41102323301110
521031200003
62053551020
7352535520
oct122736124
944815473
1021740628
11112aa068
127345470
1346727a0
142c5cd80
151d96a03
hex14bbc54

21740628 has 96 divisors (see below), whose sum is σ = 64024576. Its totient is φ = 5588352.

The previous prime is 21740627. The next prime is 21740639. The reversal of 21740628 is 82604712.

It is a junction number, because it is equal to n+sod(n) for n = 21740595 and 21740604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21740623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46725 + ... + 47187.

Almost surely, 221740628 is an apocalyptic number.

21740628 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 21740628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32012288).

21740628 is an abundant number, since it is smaller than the sum of its proper divisors (42283948).

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

21740628 is a wasteful number, since it uses less digits than its factorization.

21740628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 21740628 is about 4662.6846344140. The cubic root of 21740628 is about 279.0984095493.

The spelling of 21740628 in words is "twenty-one million, seven hundred forty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 463 516 546 559 602 903 926 1092 1118 1204 1389 1677 1806 1852 2236 2778 3241 3354 3612 3913 5556 6019 6482 6708 7826 9723 11739 12038 12964 15652 18057 19446 19909 23478 24076 36114 38892 39818 42133 46956 59727 72228 79636 84266 119454 126399 139363 168532 238908 252798 258817 278726 418089 505596 517634 557452 776451 836178 1035268 1552902 1672356 1811719 3105804 3623438 5435157 7246876 10870314 21740628