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27915140 = 22511223569
BaseRepresentation
bin110101001111…
…1001110000100
31221112020101002
41222133032010
524121241030
62434152432
7456163151
oct152371604
957466332
1027915140
1114837070
129422718
135a25046
1439c9228
1526b6245
hex1a9f384

27915140 has 48 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 10087680.

The previous prime is 27915119. The next prime is 27915143. The reversal of 27915140 is 4151972.

It is not an unprimeable number, because it can be changed into a prime (27915143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48776 + ... + 49344.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 227915140 is an apocalyptic number.

27915140 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 27915140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

27915140 is an abundant number, since it is smaller than the sum of its proper divisors (36435580).

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

27915140 is a wasteful number, since it uses less digits than its factorization.

27915140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 27915140 is about 5283.4780211524. The cubic root of 27915140 is about 303.3518189703.

The spelling of 27915140 in words is "twenty-seven million, nine hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 569 892 1115 1138 2230 2276 2453 2845 4460 4906 5690 6259 9812 11380 12265 12518 24530 25036 31295 49060 62590 125180 126887 253774 507548 634435 1268870 1395757 2537740 2791514 5583028 6978785 13957570 27915140