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21311424 = 26344111
BaseRepresentation
bin101000101001…
…0111111000000
31111002201210000
41101102333000
520423431144
62040440000
7346100301
oct121227700
944081700
1021311424
1111036652
127179000
134552314
142b8a7a8
151d0e769
hex1452fc0

21311424 has 70 divisors (see below), whose sum is σ = 63189104. Its totient is φ = 7102080.

The previous prime is 21311417. The next prime is 21311429. The reversal of 21311424 is 42411312.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21311397 and 21311406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3129 + ... + 7239.

Almost surely, 221311424 is an apocalyptic number.

21311424 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 21311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31594552).

21311424 is an abundant number, since it is smaller than the sum of its proper divisors (41877680).

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

21311424 is an equidigital number, since it uses as much as digits as its factorization.

21311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4116 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21311424 is about 4616.4297893502. The cubic root of 21311424 is about 277.2495329486.

Adding to 21311424 its reverse (42411312), we get a palindrome (63722736).

The spelling of 21311424 in words is "twenty-one million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4111 5184 8222 12333 16444 24666 32888 36999 49332 65776 73998 98664 110997 131552 147996 197328 221994 263104 295992 332991 394656 443988 591984 665982 789312 887976 1183968 1331964 1775952 2367936 2663928 3551904 5327856 7103808 10655712 21311424