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21144024 = 2333112809
BaseRepresentation
bin101000010101…
…0000111011000
31110210020011000
41100222013120
520403102044
62033105000
7344502246
oct120520730
943706130
1021144024
1110a31900
1270b8160
1344c4075
142b45796
151cc9d69
hex142a1d8

21144024 has 96 divisors (see below), whose sum is σ = 64638000. Its totient is φ = 6399360.

The previous prime is 21143999. The next prime is 21144029. The reversal of 21144024 is 42044112.

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

It is a junction number, because it is equal to n+sod(n) for n = 21143988 and 21144006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144029) 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, 25732 + ... + 26540.

Almost surely, 221144024 is an apocalyptic number.

21144024 is a gapful number since it is divisible by the number (24) 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 21144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32319000).

21144024 is an abundant number, since it is smaller than the sum of its proper divisors (43493976).

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

21144024 is a wasteful number, since it uses less digits than its factorization.

21144024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 21144024 is about 4598.2631503645. The cubic root of 21144024 is about 276.5216975715.

Adding to 21144024 its reverse (42044112), we get a palindrome (63188136).

The spelling of 21144024 in words is "twenty-one million, one hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 809 968 1089 1188 1452 1618 2178 2376 2427 2904 3236 3267 4356 4854 6472 6534 7281 8712 8899 9708 13068 14562 17798 19416 21843 26136 26697 29124 35596 43686 53394 58248 71192 80091 87372 97889 106788 160182 174744 195778 213576 240273 293667 320364 391556 480546 587334 640728 783112 881001 961092 1174668 1762002 1922184 2349336 2643003 3524004 5286006 7048008 10572012 21144024