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27066320 = 2451931753
BaseRepresentation
bin110011100111…
…1111111010000
31212221010000022
41213033333100
523412110240
62404043012
7446026361
oct147177720
955833008
1027066320
1114307366
129093468
1357b8898
143847b68
1525999b5
hex19cffd0

27066320 has 40 divisors (see below), whose sum is σ = 63291336. Its totient is φ = 10764288.

The previous prime is 27066293. The next prime is 27066323. The reversal of 27066320 is 2366072.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 26666896 = 632^2 + 5164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 27066320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27066323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14564 + ... + 16316.

Almost surely, 227066320 is an apocalyptic number.

27066320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27066320 is an abundant number, since it is smaller than the sum of its proper divisors (36225016).

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

27066320 is a wasteful number, since it uses less digits than its factorization.

27066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 27066320 is about 5202.5301536848. The cubic root of 27066320 is about 300.2454287906.

The spelling of 27066320 in words is "twenty-seven million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1753 1930 3088 3506 3860 7012 7720 8765 14024 15440 17530 28048 35060 70120 140240 338329 676658 1353316 1691645 2706632 3383290 5413264 6766580 13533160 27066320