273150240 has 144 divisors (see below), whose sum is σ = 945955584. Its totient is φ = 66204160.

The previous prime is 273150239. The next prime is 273150263. The reversal of 273150240 is 42051372.

It is a super-2 number, since 2×273150240² = 149222107224115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 273150240.

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, 55729 + ... + 60431.

It is an arithmetic number, because the mean of its divisors is an integer number (6569136).

Almost surely, 2^273150240 is an apocalyptic number.

273150240 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 273150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472977792).

273150240 is an abundant number, since it is smaller than the sum of its proper divisors (672805344).

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

273150240 is a wasteful number, since it uses less digits than its factorization.

273150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 273150240 is about 16527.2574857415. The cubic root of 273150240 is about 648.8343922943.

The spelling of 273150240 in words is "two hundred seventy-three million, one hundred fifty thousand, two hundred forty".