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21024144 = 2433411187
BaseRepresentation
bin101000000110…
…0110110010000
31110120010201000
41100030312100
520340233034
62030342000
7343462611
oct120146620
943503630
1021024144
111095a829
12705a900
13448162b
142b13c08
151ca4599
hex140cd90

21024144 has 80 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 6831360.

The previous prime is 21024137. The next prime is 21024173. The reversal of 21024144 is 44142012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17119 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 221024144 is an apocalyptic number.

21024144 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 21024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

21024144 is an abundant number, since it is smaller than the sum of its proper divisors (40846896).

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

21024144 is a wasteful number, since it uses less digits than its factorization.

21024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

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

The square root of 21024144 is about 4585.2092645811. The cubic root of 21024144 is about 275.9981096279.

Adding to 21024144 its reverse (44142012), we get a palindrome (65166156).

The spelling of 21024144 in words is "twenty-one million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1187 1476 1968 2214 2374 2952 3561 4428 4748 5904 7122 8856 9496 10683 14244 17712 18992 21366 28488 32049 42732 48667 56976 64098 85464 97334 128196 146001 170928 194668 256392 292002 389336 438003 512784 584004 778672 876006 1168008 1314009 1752012 2336016 2628018 3504024 5256036 7008048 10512072 21024144