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21071424 = 263112907
BaseRepresentation
bin101000001100…
…0011001000000
31110122112120010
41100120121000
520343241144
62031344520
7344050503
oct120303100
943575503
1021071424
1110992300
127082140
134499cca
142b2713a
151cb35b9
hex1418640

21071424 has 84 divisors (see below), whose sum is σ = 61348112. Its totient is φ = 6378240.

The previous prime is 21071423. The next prime is 21071447. The reversal of 21071424 is 42417012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21071424.

It is not an unprimeable number, because it can be changed into a prime (21071423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22779 + ... + 23685.

Almost surely, 221071424 is an apocalyptic number.

21071424 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 21071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30674056).

21071424 is an abundant number, since it is smaller than the sum of its proper divisors (40276688).

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

21071424 is a wasteful number, since it uses less digits than its factorization.

21071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 21071424 is about 4590.3620772222. The cubic root of 21071424 is about 276.2048468751.

Adding to 21071424 its reverse (42417012), we get a palindrome (63488436).

The spelling of 21071424 in words is "twenty-one million, seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 907 968 1056 1452 1814 1936 2112 2721 2904 3628 3872 5442 5808 7256 7744 9977 10884 11616 14512 19954 21768 23232 29024 29931 39908 43536 58048 59862 79816 87072 109747 119724 159632 174144 219494 239448 319264 329241 438988 478896 638528 658482 877976 957792 1316964 1755952 1915584 2633928 3511904 5267856 7023808 10535712 21071424