Search a number
-
+
273404160 = 28365293
BaseRepresentation
bin10000010010111…
…101000100000000
3201001110101000000
4100102331010000
51024442413120
643044000000
76526616451
oct2022750400
9631411000
10273404160
11130369657
1277690000
1344848413
142844d128
1519008990
hex104bd100

273404160 has 252 divisors, whose sum is σ = 985234572. Its totient is φ = 72658944.

The previous prime is 273404147. The next prime is 273404161. The reversal of 273404160 is 61404372.

It can be written as a sum of positive squares in 2 ways, for example, as 191102976 + 82301184 = 13824^2 + 9072^2 .

It is a super-3 number, since 3×2734041603 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (273404161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 932974 + ... + 933266.

It is an arithmetic number, because the mean of its divisors is an integer number (3909661).

Almost surely, 2273404160 is an apocalyptic number.

273404160 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 273404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492617286).

273404160 is an abundant number, since it is smaller than the sum of its proper divisors (711830412).

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

273404160 is an frugal number, since it uses more digits than its factorization.

273404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 273404160 is about 16534.9375565800. The cubic root of 273404160 is about 649.0353818110.

The spelling of 273404160 in words is "two hundred seventy-three million, four hundred four thousand, one hundred sixty".