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20421324 = 223271153139
BaseRepresentation
bin100110111100…
…1101011001100
31102102111210100
41031321223030
520211440244
62005411100
7335402250
oct115715314
942374710
1020421324
1110588930
126a09a90
134300131
1429d8260
151bd5b69
hex1379acc

20421324 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5166720.

The previous prime is 20421287. The next prime is 20421329. The reversal of 20421324 is 42312402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 20421297 and 20421306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20421329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146847 + ... + 146985.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 220421324 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 20421324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20421324 is an abundant number, since it is smaller than the sum of its proper divisors (45622836).

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

20421324 is a wasteful number, since it uses less digits than its factorization.

20421324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20421324 is about 4518.9959061721. The cubic root of 20421324 is about 273.3346136499.

Adding to 20421324 its reverse (42312402), we get a palindrome (62733726).

It can be divided in two parts, 204 and 21324, that added together give a triangular number (21528 = T207).

The spelling of 20421324 in words is "twenty million, four hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 53 63 66 77 84 99 106 126 132 139 154 159 198 212 231 252 278 308 318 371 396 417 462 477 556 583 636 693 742 834 924 954 973 1113 1166 1251 1386 1484 1529 1668 1749 1908 1946 2226 2332 2502 2772 2919 3058 3339 3498 3892 4081 4452 4587 5004 5247 5838 6116 6678 6996 7367 8162 8757 9174 10494 10703 11676 12243 13356 13761 14734 16324 17514 18348 20988 21406 22101 24486 27522 29468 32109 35028 36729 42812 44202 48972 51569 55044 64218 66303 73458 81037 88404 96327 103138 128436 132606 146916 154707 162074 192654 206276 243111 265212 309414 324148 385308 464121 486222 567259 618828 729333 928242 972444 1134518 1458666 1701777 1856484 2269036 2917332 3403554 5105331 6807108 10210662 20421324