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27123984 = 243420929
BaseRepresentation
bin110011101111…
…0000100010000
31220001001010000
41213132010100
523420431414
62405210000
7446356446
oct147360420
956031100
1027123984
1114346718
129100900
135808bc4
143860b96
1525abb09
hex19de110

27123984 has 50 divisors (see below), whose sum is σ = 78508430. Its totient is φ = 9040896.

The previous prime is 27123983. The next prime is 27123989. The reversal of 27123984 is 48932172.

It can be written as a sum of positive squares in only one way, i.e., 23619600 + 3504384 = 4860^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27123983) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 9169 + ... + 11760.

Almost surely, 227123984 is an apocalyptic number.

27123984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27123984 is an abundant number, since it is smaller than the sum of its proper divisors (51384446).

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

27123984 is a wasteful number, since it uses less digits than its factorization.

27123984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20949 (or 20934 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 27123984 is about 5208.0691239652. The cubic root of 27123984 is about 300.4584989055.

The spelling of 27123984 in words is "twenty-seven million, one hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 20929 41858 62787 83716 125574 167432 188361 251148 334864 376722 502296 565083 753444 1004592 1130166 1506888 1695249 2260332 3013776 3390498 4520664 6780996 9041328 13561992 27123984