Search a number
-
+
273500268 = 223234492207
BaseRepresentation
bin10000010011010…
…100100001101100
3201001122020211120
4100103110201230
51030004002033
643050020540
76530466606
oct2023244154
9631566746
10273500268
11130424888
1277717750
13448800a2
1428476176
15190271b3
hex104d486c

273500268 has 48 divisors (see below), whose sum is σ = 667699200. Its totient is φ = 86969344.

The previous prime is 273500261. The next prime is 273500273. The reversal of 273500268 is 862005372.

273500268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (273500261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 122821 + ... + 125027.

It is an arithmetic number, because the mean of its divisors is an integer number (13910400).

Almost surely, 2273500268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273500268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333849600).

273500268 is an abundant number, since it is smaller than the sum of its proper divisors (394198932).

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

273500268 is a wasteful number, since it uses less digits than its factorization.

273500268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 273500268 is about 16537.8435111716. The cubic root of 273500268 is about 649.1114233080. Note that the first 3 decimals are identical.

The spelling of 273500268 in words is "two hundred seventy-three million, five hundred thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 449 898 1347 1796 2207 2694 4414 5388 6621 8828 10327 13242 20654 26484 30981 41308 50761 61962 101522 123924 152283 203044 304566 609132 990943 1981886 2972829 3963772 5945658 11891316 22791689 45583378 68375067 91166756 136750134 273500268