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21105024 = 273175361
BaseRepresentation
bin101000010000…
…0100110000000
31110201020122120
41100200212000
520400330044
62032204240
7344250453
oct120404600
943636576
1021105024
1110a05576
127099680
1344ac3a5
142b3549a
151cbd519
hex1420980

21105024 has 128 divisors (see below), whose sum is σ = 61469280. Its totient is φ = 6389760.

The previous prime is 21105023. The next prime is 21105043. The reversal of 21105024 is 42050112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 21104994 and 21105012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21105023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345954 + ... + 346014.

Almost surely, 221105024 is an apocalyptic number.

21105024 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 21105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30734640).

21105024 is an abundant number, since it is smaller than the sum of its proper divisors (40364256).

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

21105024 is a wasteful number, since it uses less digits than its factorization.

21105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 21105024 is about 4594.0204614259. The cubic root of 21105024 is about 276.3515788410.

Adding to 21105024 its reverse (42050112), we get a palindrome (63155136).

The spelling of 21105024 in words is "twenty-one million, one hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 61 64 68 96 102 106 122 128 136 159 183 192 204 212 244 272 318 366 384 408 424 488 544 636 732 816 848 901 976 1037 1088 1272 1464 1632 1696 1802 1952 2074 2176 2544 2703 2928 3111 3233 3264 3392 3604 3904 4148 5088 5406 5856 6222 6466 6528 6784 7208 7808 8296 9699 10176 10812 11712 12444 12932 14416 16592 19398 20352 21624 23424 24888 25864 28832 33184 38796 43248 49776 51728 54961 57664 66368 77592 86496 99552 103456 109922 115328 132736 155184 164883 172992 199104 206912 219844 310368 329766 345984 398208 413824 439688 620736 659532 879376 1241472 1319064 1758752 2638128 3517504 5276256 7035008 10552512 21105024