Search a number
-
+
273728700 = 223352722069
BaseRepresentation
bin10000010100001…
…100010010111100
3201002001212012000
4100110030102330
51030033304300
643054542300
76532440600
oct2024142274
9632055160
10273728700
11130570473
1277807990
134493005b
14284d5500
151906ec00
hex1050c4bc

273728700 has 216 divisors, whose sum is σ = 1024153200. Its totient is φ = 62536320.

The previous prime is 273728683. The next prime is 273728737. The reversal of 273728700 is 7827372.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 131266 + ... + 133334.

It is an arithmetic number, because the mean of its divisors is an integer number (4741450).

Almost surely, 2273728700 is an apocalyptic number.

273728700 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 273728700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512076600).

273728700 is an abundant number, since it is smaller than the sum of its proper divisors (750424500).

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

273728700 is a wasteful number, since it uses less digits than its factorization.

273728700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 273728700 is about 16544.7484115051. The cubic root of 273728700 is about 649.2920892595.

The spelling of 273728700 in words is "two hundred seventy-three million, seven hundred twenty-eight thousand, seven hundred".