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270421200 = 2433527373
BaseRepresentation
bin10000000111100…
…100110011010000
3200211211211011000
4100013210303100
51023211434300
642500022000
76462354000
oct2007446320
9624754130
10270421200
111297114a5
1276691900
134404275a
1427cb4000
1518b19c00
hex101e4cd0

270421200 has 480 divisors, whose sum is σ = 1137824000. Its totient is φ = 60963840.

The previous prime is 270421183. The next prime is 270421213. The reversal of 270421200 is 2124072.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 3704364 + ... + 3704436.

Almost surely, 2270421200 is an apocalyptic number.

270421200 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 270421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568912000).

270421200 is an abundant number, since it is smaller than the sum of its proper divisors (867402800).

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

270421200 is a wasteful number, since it uses less digits than its factorization.

270421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 270421200 is about 16444.4884383796. The cubic root of 270421200 is about 646.6663242048. Note that the first 3 decimals are identical.

Adding to 270421200 its reverse (2124072), we get a palindrome (272545272).

The spelling of 270421200 in words is "two hundred seventy million, four hundred twenty-one thousand, two hundred".