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27028980 = 223251121773
BaseRepresentation
bin110011100011…
…0110111110100
31212212012210100
41213012313310
523404411410
62403154100
7445512456
oct147066764
955765710
1027028980
1114291300
129075930
1357a48a4
1438382d6
15258d8c0
hex19c6df4

27028980 has 216 divisors, whose sum is σ = 96727176. Its totient is φ = 6082560.

The previous prime is 27028973. The next prime is 27028999. The reversal of 27028980 is 8982072.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 20738916 = 2508^2 + 4554^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370224 + ... + 370296.

It is an arithmetic number, because the mean of its divisors is an integer number (447811).

Almost surely, 227028980 is an apocalyptic number.

27028980 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 27028980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48363588).

27028980 is an abundant number, since it is smaller than the sum of its proper divisors (69698196).

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

27028980 is a wasteful number, since it uses less digits than its factorization.

27028980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 27028980 is about 5198.9402766333. The cubic root of 27028980 is about 300.1072949547.

The spelling of 27028980 in words is "twenty-seven million, twenty-eight thousand, nine hundred eighty".