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27301300 = 22521321001
BaseRepresentation
bin110100000100…
…1010110110100
31220101001100021
41220021112310
523442120200
62413054524
7451025425
oct150112664
956331307
1027301300
1114457964
129187444
13586b820
1438a964c
1525e441a
hex1a095b4

27301300 has 36 divisors (see below), whose sum is σ = 63804076. Its totient is φ = 10080000.

The previous prime is 27301291. The next prime is 27301321. The reversal of 27301300 is 310372.

It can be written as a sum of positive squares in 6 ways, for example, as 6012304 + 21288996 = 2452^2 + 4614^2 .

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 11 ways as a sum of consecutive naturals, for example, 9201 + ... + 11800.

Almost surely, 227301300 is an apocalyptic number.

27301300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27301300 is an abundant number, since it is smaller than the sum of its proper divisors (36502776).

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

27301300 is a wasteful number, since it uses less digits than its factorization.

27301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028 (or 21021 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 27301300 is about 5225.0645929022. The cubic root of 27301300 is about 301.1118005014. Note that the first 3 decimals are identical.

Adding to 27301300 its reverse (310372), we get a palindrome (27611672).

The spelling of 27301300 in words is "twenty-seven million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 21001 42002 84004 105005 210010 273013 420020 525025 546026 1050050 1092052 1365065 2100100 2730130 5460260 6825325 13650650 27301300