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27069984 = 2533171997
BaseRepresentation
bin110011101000…
…0111000100000
31212221022001000
41213100320200
523412214414
62404112000
7446043144
oct147207040
955838030
1027069984
111430a097
129095600
1357ba456
143849224
15259ab09
hex19d0e20

27069984 has 192 divisors, whose sum is σ = 88905600. Its totient is φ = 7962624.

The previous prime is 27069983. The next prime is 27069989. The reversal of 27069984 is 48996072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27069983) 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, 279024 + ... + 279120.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 227069984 is an apocalyptic number.

27069984 is a gapful number since it is divisible by the number (24) 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 27069984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

27069984 is an abundant number, since it is smaller than the sum of its proper divisors (61835616).

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

27069984 is a wasteful number, since it uses less digits than its factorization.

27069984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 27069984 is about 5202.8822781224. The cubic root of 27069984 is about 300.2589763731.

The spelling of 27069984 in words is "twenty-seven million, sixty-nine thousand, nine hundred eighty-four".