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21143808 = 283371923
BaseRepresentation
bin101000010101…
…0000100000000
31110210012212000
41100222010000
520403100213
62033104000
7344501520
oct120520400
943705760
1021143808
1110a31724
1270b8000
1344c3c3a
142b45680
151cc9c73
hex142a100

21143808 has 288 divisors, whose sum is σ = 78489600. Its totient is φ = 5474304.

The previous prime is 21143807. The next prime is 21143839. The reversal of 21143808 is 80834112.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21143807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919285 + ... + 919307.

Almost surely, 221143808 is an apocalyptic number.

21143808 is a gapful number since it is divisible by the number (28) 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 21143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39244800).

21143808 is an abundant number, since it is smaller than the sum of its proper divisors (57345792).

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

21143808 is a wasteful number, since it uses less digits than its factorization.

21143808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 21143808 is about 4598.2396631755. The cubic root of 21143808 is about 276.5207559517.

The spelling of 21143808 in words is "twenty-one million, one hundred forty-three thousand, eight hundred eight".