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21534660 = 223657211
BaseRepresentation
bin101001000100…
…1011111000100
31111112002000000
41102021133010
521003102120
62045321300
7351020160
oct122113704
944462000
1021534660
1111179344
127266230
1345ccb04
142c07ca0
151d55990
hex14897c4

21534660 has 168 divisors, whose sum is σ = 77856576. Its totient is φ = 4898880.

The previous prime is 21534659. The next prime is 21534683. The reversal of 21534660 is 6643512.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101955 + ... + 102165.

It is an arithmetic number, because the mean of its divisors is an integer number (463432).

Almost surely, 221534660 is an apocalyptic number.

21534660 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 21534660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38928288).

21534660 is an abundant number, since it is smaller than the sum of its proper divisors (56321916).

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

21534660 is a wasteful number, since it uses less digits than its factorization.

21534660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 21534660 is about 4640.5452265871. The cubic root of 21534660 is about 278.2142302593.

The spelling of 21534660 in words is "twenty-one million, five hundred thirty-four thousand, six hundred sixty".