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21488 = 241779
BaseRepresentation
bin101001111110000
31002110212
411033300
51141423
6243252
7116435
oct51760
932425
1021488
1115165
1210528
139a1c
147b8c
156578
hex53f0

21488 has 20 divisors (see below), whose sum is σ = 44640. Its totient is φ = 9984.

The previous prime is 21487. The next prime is 21491. The reversal of 21488 is 88412.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

221488 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 21488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320).

21488 is an abundant number, since it is smaller than the sum of its proper divisors (23152).

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

21488 is a wasteful number, since it uses less digits than its factorization.

21488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 21488 is about 146.5878576145. The cubic root of 21488 is about 27.8013145696.

The spelling of 21488 in words is "twenty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 632 1264 1343 2686 5372 10744 21488