Search a number
-
+
21328398 = 23271329449
BaseRepresentation
bin101000101011…
…1001000001110
31111010121001200
41101113020032
520430002043
62041050330
7346200630
oct121271016
944117050
1021328398
1111048383
1271869a6
134559c70
142b92a50
151d147d3
hex145720e

21328398 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 5419008.

The previous prime is 21328381. The next prime is 21328399. The reversal of 21328398 is 89382312.

It is a happy number.

It is a super-2 number, since 2×213283982 = 909801122492808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21328399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47278 + ... + 47726.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 221328398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21328398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

21328398 is an abundant number, since it is smaller than the sum of its proper divisors (37639602).

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

21328398 is a wasteful number, since it uses less digits than its factorization.

21328398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 21328398 is about 4618.2678571083. The cubic root of 21328398 is about 277.3231207845.

The spelling of 21328398 in words is "twenty-one million, three hundred twenty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 174 182 203 234 261 273 377 406 449 522 546 609 754 819 898 1131 1218 1347 1638 1827 2262 2639 2694 3143 3393 3654 4041 5278 5837 6286 6786 7917 8082 9429 11674 13021 15834 17511 18858 23751 26042 28287 35022 39063 40859 47502 52533 56574 78126 81718 91147 105066 117189 122577 169273 182294 234378 245154 273441 338546 367731 507819 546882 735462 820323 1015638 1184911 1523457 1640646 2369822 3046914 3554733 7109466 10664199 21328398