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21440 = 26567
BaseRepresentation
bin101001111000000
31002102002
411033000
51141230
6243132
7116336
oct51700
932362
1021440
1115121
12104a8
1399b3
147b56
156545
hex53c0

21440 has 28 divisors (see below), whose sum is σ = 51816. Its totient is φ = 8448.

The previous prime is 21433. The next prime is 21467. The reversal of 21440 is 4412.

21440 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 21440.

It is an unprimeable number.

21440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287 + ... + 353.

221440 is an apocalyptic number.

21440 is a gapful number since it is divisible by the number (20) 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 21440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25908).

21440 is an abundant number, since it is smaller than the sum of its proper divisors (30376).

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

21440 is an equidigital number, since it uses as much as digits as its factorization.

21440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 21440 is about 146.4240417418. The cubic root of 21440 is about 27.7805982321.

Adding to 21440 its reverse (4412), we get a palindrome (25852).

The spelling of 21440 in words is "twenty-one thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2144 2680 4288 5360 10720 21440