Search a number
-
+
21658428 = 22341159103
BaseRepresentation
bin101001010011…
…1101100111100
31111202100210000
41102213230330
521021032203
62052114300
7352044051
oct122475474
944670700
1021658428
1111253330
127305990
13464424c
142c3b028
151d7c4a3
hex14a7b3c

21658428 has 120 divisors (see below), whose sum is σ = 63423360. Its totient is φ = 6389280.

The previous prime is 21658421. The next prime is 21658457. The reversal of 21658428 is 82485612.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21658392 and 21658401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21658421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210225 + ... + 210327.

It is an arithmetic number, because the mean of its divisors is an integer number (528528).

Almost surely, 221658428 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 21658428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711680).

21658428 is an abundant number, since it is smaller than the sum of its proper divisors (41764932).

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

21658428 is a wasteful number, since it uses less digits than its factorization.

21658428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 21658428 is about 4653.8616223519. The cubic root of 21658428 is about 278.7462138948.

It can be divided in two parts, 216584 and 28, that added together give a palindrome (216612).

The spelling of 21658428 in words is "twenty-one million, six hundred fifty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 81 99 103 108 118 132 162 177 198 206 236 297 309 324 354 396 412 531 594 618 649 708 891 927 1062 1133 1188 1236 1298 1593 1782 1854 1947 2124 2266 2596 2781 3186 3399 3564 3708 3894 4532 4779 5562 5841 6077 6372 6798 7788 8343 9558 10197 11124 11682 12154 13596 16686 17523 18231 19116 20394 23364 24308 30591 33372 35046 36462 40788 52569 54693 61182 66847 70092 72924 91773 105138 109386 122364 133694 164079 183546 200541 210276 218772 267388 328158 367092 401082 492237 601623 656316 802164 984474 1203246 1804869 1968948 2406492 3609738 5414607 7219476 10829214 21658428