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27012040 = 2351125581
BaseRepresentation
bin110011100001…
…0101111001000
31212211100112221
41213002233020
523403341130
62402543424
7445412206
oct147025710
955740487
1027012040
111427a600
129067b74
135799c73
143832076
15258887a
hex19c2bc8

27012040 has 48 divisors (see below), whose sum is σ = 66816540. Its totient is φ = 9820800.

The previous prime is 27012023. The next prime is 27012103. The reversal of 27012040 is 4021072.

It can be written as a sum of positive squares in 2 ways, for example, as 26275876 + 736164 = 5126^2 + 858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2050 + ... + 7630.

Almost surely, 227012040 is an apocalyptic number.

27012040 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 27012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33408270).

27012040 is an abundant number, since it is smaller than the sum of its proper divisors (39804500).

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

27012040 is a wasteful number, since it uses less digits than its factorization.

27012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 27012040 is about 5197.3108431188. The cubic root of 27012040 is about 300.0445859659.

The spelling of 27012040 in words is "twenty-seven million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 5581 11162 22324 27905 44648 55810 61391 111620 122782 223240 245564 306955 491128 613910 675301 1227820 1350602 2455640 2701204 3376505 5402408 6753010 13506020 27012040