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27046120 = 2351921873
BaseRepresentation
bin110011100101…
…1000011101000
31212220002022011
41213023003220
523410433440
62403405304
7445613443
oct147130350
955802264
1027046120
11142a3172
129083834
1357ac62a
14384065a
1525939ea
hex19cb0e8

27046120 has 48 divisors (see below), whose sum is σ = 64259460. Its totient is φ = 10243584.

The previous prime is 27046111. The next prime is 27046127. The reversal of 27046120 is 2164072.

It can be written as a sum of positive squares in 2 ways, for example, as 23290276 + 3755844 = 4826^2 + 1938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27046091 and 27046100.

It is not an unprimeable number, because it can be changed into a prime (27046127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13504 + ... + 15376.

Almost surely, 227046120 is an apocalyptic number.

27046120 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 27046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32129730).

27046120 is an abundant number, since it is smaller than the sum of its proper divisors (37213340).

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

27046120 is a wasteful number, since it uses less digits than its factorization.

27046120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 27046120 is about 5200.5884282454. The cubic root of 27046120 is about 300.1707176480.

The spelling of 27046120 in words is "twenty-seven million, forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 1873 2888 3610 3746 7220 7492 9365 14440 14984 18730 35587 37460 71174 74920 142348 177935 284696 355870 676153 711740 1352306 1423480 2704612 3380765 5409224 6761530 13523060 27046120