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21474180 = 223357131923
BaseRepresentation
bin101000111101…
…0101110000100
31111102000001000
41101322232010
520444133210
62044133300
7350345640
oct121725604
944360030
1021474180
1111137962
127237230
1345ab420
142bcdc20
151d42ac0
hex147ab84

21474180 has 384 divisors, whose sum is σ = 90316800. Its totient is φ = 4105728.

The previous prime is 21474143. The next prime is 21474217. The reversal of 21474180 is 8147412.

21474180 is a nontrivial binomial coefficient, being equal to C(28, 11).

It is an interprime number because it is at equal distance from previous prime (21474143) and next prime (21474217).

It is a super-2 number, since 2×214741802 = 922280813344800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933649 + ... + 933671.

It is an arithmetic number, because the mean of its divisors is an integer number (235200).

Almost surely, 221474180 is an apocalyptic number.

21474180 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 21474180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

21474180 is an abundant number, since it is smaller than the sum of its proper divisors (68842620).

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

21474180 is a wasteful number, since it uses less digits than its factorization.

21474180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 21474180 is about 4634.0241691213. The cubic root of 21474180 is about 277.9535315599.

The spelling of 21474180 in words is "twenty-one million, four hundred seventy-four thousand, one hundred eighty".