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21027424 = 2511314147
BaseRepresentation
bin101000000110…
…1101001100000
31110120022012111
41100031221200
520340334144
62030405104
7343505305
oct120155140
943508174
1021027424
1110962240
127060794
134482c82
142b150ac
151ca5534
hex140da60

21027424 has 96 divisors (see below), whose sum is σ = 48771072. Its totient is φ = 8832000.

The previous prime is 21027421. The next prime is 21027443. The reversal of 21027424 is 42472012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21027395 and 21027404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21027421) 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, 447369 + ... + 447415.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 221027424 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 21027424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536).

21027424 is an abundant number, since it is smaller than the sum of its proper divisors (27743648).

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

21027424 is a wasteful number, since it uses less digits than its factorization.

21027424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 21027424 is about 4585.5669224208. The cubic root of 21027424 is about 276.0124618052.

Adding to 21027424 its reverse (42472012), we get a palindrome (63499436).

The spelling of 21027424 in words is "twenty-one million, twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 41 44 47 62 82 88 94 124 164 176 188 248 328 341 352 376 451 496 517 656 682 752 902 992 1034 1271 1312 1364 1457 1504 1804 1927 2068 2542 2728 2914 3608 3854 4136 5084 5456 5828 7216 7708 8272 10168 10912 11656 13981 14432 15416 16027 16544 20336 21197 23312 27962 30832 32054 40672 42394 46624 55924 59737 61664 64108 84788 111848 119474 128216 169576 223696 238948 256432 339152 447392 477896 512864 657107 678304 955792 1314214 1911584 2628428 5256856 10513712 21027424