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21475080 = 233251121729
BaseRepresentation
bin101000111101…
…0111100001000
31111102001021100
41101322330020
520444200310
62044141400
7350351364
oct121727410
944361240
1021475080
1111138600
127237860
1345ab963
142bd02a4
151d42ec0
hex147af08

21475080 has 288 divisors, whose sum is σ = 84029400. Its totient is φ = 4730880.

The previous prime is 21475079. The next prime is 21475127. The reversal of 21475080 is 8057412.

It can be written as a sum of positive squares in 4 ways, for example, as 19554084 + 1920996 = 4422^2 + 1386^2 .

It is a super-2 number, since 2×214750802 = 922358122012800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740506 + ... + 740534.

Almost surely, 221475080 is an apocalyptic number.

21475080 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 21475080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014700).

21475080 is an abundant number, since it is smaller than the sum of its proper divisors (62554320).

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

21475080 is a wasteful number, since it uses less digits than its factorization.

21475080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 21475080 is about 4634.1212759271. The cubic root of 21475080 is about 277.9574145904.

It can be divided in two parts, 2147 and 5080, that added together give a palindrome (7227).

The spelling of 21475080 in words is "twenty-one million, four hundred seventy-five thousand, eighty".