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27400000 = 2655137
BaseRepresentation
bin110100010000…
…1011101000000
31220120001201211
41220201131000
524003300000
62415135504
7451616245
oct150413500
956501654
1027400000
1114515031
129214594
1358a4724
1438d35cc
1526137ba
hex1a21740

27400000 has 84 divisors (see below), whose sum is σ = 68456556. Its totient is φ = 10880000.

The previous prime is 27399991. The next prime is 27400003. The reversal of 27400000 is 472.

It can be written as a sum of positive squares in 6 ways, for example, as 21678336 + 5721664 = 4656^2 + 2392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27400003) 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, 199932 + ... + 200068.

It is an arithmetic number, because the mean of its divisors is an integer number (814959).

Almost surely, 227400000 is an apocalyptic number.

27400000 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 27400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34228278).

27400000 is an abundant number, since it is smaller than the sum of its proper divisors (41056556).

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

27400000 is an frugal number, since it uses more digits than its factorization.

27400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 27400000 is about 5234.5009313210. The cubic root of 27400000 is about 301.4742251489.

Adding to 27400000 its reverse (472), we get a palindrome (27400472).

The spelling of 27400000 in words is "twenty-seven million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 137 160 200 250 274 320 400 500 548 625 685 800 1000 1096 1250 1370 1600 2000 2192 2500 2740 3125 3425 4000 4384 5000 5480 6250 6850 8000 8768 10000 10960 12500 13700 17125 20000 21920 25000 27400 34250 40000 43840 50000 54800 68500 85625 100000 109600 137000 171250 200000 219200 274000 342500 428125 548000 685000 856250 1096000 1370000 1712500 2740000 3425000 5480000 6850000 13700000 27400000