Search a number
-
+
27140000 = 25542359
BaseRepresentation
bin110011110000…
…1111110100000
31220001212002012
41213201332200
523421440000
62405412052
7446454236
oct147417640
956055065
1027140000
1114357758
12910a028
135813294
143866956
1525b1735
hex19e1fa0

27140000 has 120 divisors (see below), whose sum is σ = 70852320. Its totient is φ = 10208000.

The previous prime is 27139997. The next prime is 27140011. The reversal of 27140000 is 4172.

It is a happy number.

27140000 is nontrivially palindromic in base 9.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 459971 + ... + 460029.

It is an arithmetic number, because the mean of its divisors is an integer number (590436).

Almost surely, 227140000 is an apocalyptic number.

27140000 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 27140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35426160).

27140000 is an abundant number, since it is smaller than the sum of its proper divisors (43712320).

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

27140000 is an equidigital number, since it uses as much as digits as its factorization.

27140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 27140000 is about 5209.6065110524. The cubic root of 27140000 is about 300.5176248864.

Adding to 27140000 its reverse (4172), we get a palindrome (27144172).

The spelling of 27140000 in words is "twenty-seven million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 59 80 92 100 115 118 125 160 184 200 230 236 250 295 368 400 460 472 500 575 590 625 736 800 920 944 1000 1150 1180 1250 1357 1475 1840 1888 2000 2300 2360 2500 2714 2875 2950 3680 4000 4600 4720 5000 5428 5750 5900 6785 7375 9200 9440 10000 10856 11500 11800 13570 14375 14750 18400 20000 21712 23000 23600 27140 28750 29500 33925 36875 43424 46000 47200 54280 57500 59000 67850 73750 92000 108560 115000 118000 135700 147500 169625 217120 230000 236000 271400 295000 339250 460000 542800 590000 678500 848125 1085600 1180000 1357000 1696250 2714000 3392500 5428000 6785000 13570000 27140000