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273240900 = 223252192292
BaseRepresentation
bin10000010010010…
…101001101000100
3201001011002001100
4100102111031010
51024422202100
643040300100
76525336462
oct2022251504
9631132040
10273240900
11130267a29
1277611630
13447bc00a
1428409832
1518ec5400
hex10495344

273240900 has 243 divisors, whose sum is σ = 936151671. Its totient is φ = 66648960.

The previous prime is 273240889. The next prime is 273240901. The reversal of 273240900 is 9042372.

The square root of 273240900 is 16530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3755844 + 269485056 = 1938^2 + 16416^2 .

It is not an unprimeable number, because it can be changed into a prime (273240901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9422086 + ... + 9422114.

Almost surely, 2273240900 is an apocalyptic number.

273240900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

273240900 is the 16530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273240900

273240900 is an abundant number, since it is smaller than the sum of its proper divisors (662910771).

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

273240900 is a wasteful number, since it uses less digits than its factorization.

273240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The cubic root of 273240900 is about 648.9061682021.

The spelling of 273240900 in words is "two hundred seventy-three million, two hundred forty thousand, nine hundred".