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27940000 = 255411127
BaseRepresentation
bin110101010010…
…1010010100000
31221120111110211
41222211102200
524123040000
62434503504
7456325504
oct152452240
957514424
1027940000
1114853810
129434b94
135a3345a
1439d4304
1526bd7ba
hex1aa54a0

27940000 has 120 divisors (see below), whose sum is σ = 75575808. Its totient is φ = 10080000.

The previous prime is 27939997. The next prime is 27940039. The reversal of 27940000 is 4972.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219937 + ... + 220063.

Almost surely, 227940000 is an apocalyptic number.

27940000 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 27940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787904).

27940000 is an abundant number, since it is smaller than the sum of its proper divisors (47635808).

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

27940000 is a wasteful number, since it uses less digits than its factorization.

27940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 27940000 is about 5285.8301145610. The cubic root of 27940000 is about 303.4418428626.

Adding to 27940000 its reverse (4972), we get a palindrome (27944972).

The spelling of 27940000 in words is "twenty-seven million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 127 160 176 200 220 250 254 275 352 400 440 500 508 550 625 635 800 880 1000 1016 1100 1250 1270 1375 1397 1760 2000 2032 2200 2500 2540 2750 2794 3175 4000 4064 4400 5000 5080 5500 5588 6350 6875 6985 8800 10000 10160 11000 11176 12700 13750 13970 15875 20000 20320 22000 22352 25400 27500 27940 31750 34925 44000 44704 50800 55000 55880 63500 69850 79375 101600 110000 111760 127000 139700 158750 174625 220000 223520 254000 279400 317500 349250 508000 558800 635000 698500 873125 1117600 1270000 1397000 1746250 2540000 2794000 3492500 5588000 6985000 13970000 27940000