Search a number
-
+
27068700 = 22352233923
BaseRepresentation
bin110011101000…
…0100100011100
31212221020021110
41213100210130
523412144300
62404102020
7446036331
oct147204434
955836243
1027068700
111430912a
129094910
1357b99a9
143848988
15259a550
hex19d091c

27068700 has 72 divisors (see below), whose sum is σ = 81744768. Its totient is φ = 6902720.

The previous prime is 27068693. The next prime is 27068729. The reversal of 27068700 is 786072.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4939 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (1135344).

Almost surely, 227068700 is an apocalyptic number.

27068700 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 27068700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40872384).

27068700 is an abundant number, since it is smaller than the sum of its proper divisors (54676068).

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

27068700 is a wasteful number, since it uses less digits than its factorization.

27068700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 27068700 is about 5202.7588835156. The cubic root of 27068700 is about 300.2542289424.

The spelling of 27068700 in words is "twenty-seven million, sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 3923 6900 7846 11769 15692 19615 23538 39230 47076 58845 78460 90229 98075 117690 180458 196150 235380 270687 294225 360916 392300 451145 541374 588450 902290 1082748 1176900 1353435 1804580 2255725 2706870 4511450 5413740 6767175 9022900 13534350 27068700