Search a number
-
+
273141200 = 24523312063
BaseRepresentation
bin10000010001111…
…100110111010000
3201000222000021202
4100101330313100
51024411004300
643034210332
76524443013
oct2021746720
9630860252
10273141200
111301aa032
12775839a8
1344785817
14283c137a
1518ea5ad5
hex1047cdd0

273141200 has 60 divisors (see below), whose sum is σ = 658523328. Its totient is φ = 108873600.

The previous prime is 273141199. The next prime is 273141241. The reversal of 273141200 is 2141372.

It is a super-2 number, since 2×2731412002 = 149212230274880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 131369 + ... + 133431.

Almost surely, 2273141200 is an apocalyptic number.

273141200 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 273141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329261664).

273141200 is an abundant number, since it is smaller than the sum of its proper divisors (385382128).

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

273141200 is a wasteful number, since it uses less digits than its factorization.

273141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 273141200 is about 16526.9839958778. The cubic root of 273141200 is about 648.8272344171.

Adding to 273141200 its reverse (2141372), we get a palindrome (275282572).

The spelling of 273141200 in words is "two hundred seventy-three million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 331 400 662 1324 1655 2063 2648 3310 4126 5296 6620 8252 8275 10315 13240 16504 16550 20630 26480 33008 33100 41260 51575 66200 82520 103150 132400 165040 206300 412600 682853 825200 1365706 2731412 3414265 5462824 6828530 10925648 13657060 17071325 27314120 34142650 54628240 68285300 136570600 273141200