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27789140 = 22510113757
BaseRepresentation
bin110101000000…
…0011101010100
31221021211112102
41222000131110
524103223030
62431341232
7455126621
oct152003524
957254472
1027789140
1114760435
129381818
1359ac8a2
143995348
15268dc45
hex1a80754

27789140 has 24 divisors (see below), whose sum is σ = 58939272. Its totient is φ = 11004800.

The previous prime is 27789133. The next prime is 27789143. The reversal of 27789140 is 4198772.

It can be written as a sum of positive squares in 4 ways, for example, as 2829124 + 24960016 = 1682^2 + 4996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27789094 and 27789103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27789143) 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, 4859 + ... + 8898.

It is an arithmetic number, because the mean of its divisors is an integer number (2455803).

Almost surely, 227789140 is an apocalyptic number.

27789140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27789140 is an abundant number, since it is smaller than the sum of its proper divisors (31150132).

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

27789140 is a wasteful number, since it uses less digits than its factorization.

27789140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13867 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 27789140 is about 5271.5405717873. The cubic root of 27789140 is about 302.8947195658.

The spelling of 27789140 in words is "twenty-seven million, seven hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 13757 27514 55028 68785 137570 275140 1389457 2778914 5557828 6947285 13894570 27789140