Search a number
-
+
27082300 = 2252725527
BaseRepresentation
bin110011101001…
…1111000111100
31212221220221011
41213103320330
523413113200
62404245004
7446124100
oct147237074
955856834
1027082300
1114318373
1290a0764
1357c2c3b
14384d900
15259e5ba
hex19d3e3c

27082300 has 54 divisors (see below), whose sum is σ = 68375832. Its totient is φ = 9283680.

The previous prime is 27082291. The next prime is 27082301. The reversal of 27082300 is 328072.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27082301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2137 + ... + 7663.

Almost surely, 227082300 is an apocalyptic number.

27082300 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 27082300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34187916).

27082300 is an abundant number, since it is smaller than the sum of its proper divisors (41293532).

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

27082300 is a wasteful number, since it uses less digits than its factorization.

27082300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 27082300 is about 5204.0657182630. The cubic root of 27082300 is about 300.3045056313.

The spelling of 27082300 in words is "twenty-seven million, eighty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 5527 11054 22108 27635 38689 55270 77378 110540 138175 154756 193445 270823 276350 386890 541646 552700 773780 967225 1083292 1354115 1934450 2708230 3868900 5416460 6770575 13541150 27082300