Search a number
-
+
27053340 = 22351921249
BaseRepresentation
bin110011100110…
…0110100011100
31212220110012120
41213030310130
523411201330
62403502540
7445643466
oct147146434
955813176
1027053340
11142a8636
129087a50
1357b29c2
143843136
152595c10
hex19ccd1c

27053340 has 72 divisors (see below), whose sum is σ = 80010000. Its totient is φ = 6829056.

The previous prime is 27053303. The next prime is 27053347. The reversal of 27053340 is 4335072.

It is a self number, because there is not a number n which added to its sum of digits gives 27053340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27053347) 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 23 ways as a sum of consecutive naturals, for example, 21036 + ... + 22284.

It is an arithmetic number, because the mean of its divisors is an integer number (1111250).

Almost surely, 227053340 is an apocalyptic number.

27053340 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 27053340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40005000).

27053340 is an abundant number, since it is smaller than the sum of its proper divisors (52956660).

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

27053340 is a wasteful number, since it uses less digits than its factorization.

27053340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 27053340 is about 5201.2825341448. The cubic root of 27053340 is about 300.1974256042.

The spelling of 27053340 in words is "twenty-seven million, fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1249 1444 1805 2166 2498 3610 3747 4332 4996 5415 6245 7220 7494 10830 12490 14988 18735 21660 23731 24980 37470 47462 71193 74940 94924 118655 142386 237310 284772 355965 450889 474620 711930 901778 1352667 1423860 1803556 2254445 2705334 4508890 5410668 6763335 9017780 13526670 27053340