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27441420 = 22353747263
BaseRepresentation
bin110100010101…
…1100100001100
31220122011112220
41220223210030
524011111140
62420055340
7452151066
oct150534414
956564486
1027441420
1114543166
129234550
1358ba536
143904736
152620bd0
hex1a2b90c

27441420 has 96 divisors (see below), whose sum is σ = 80898048. Its totient is φ = 6941952.

The previous prime is 27441409. The next prime is 27441437. The reversal of 27441420 is 2414472.

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 31 ways as a sum of consecutive naturals, for example, 104209 + ... + 104471.

It is an arithmetic number, because the mean of its divisors is an integer number (842688).

Almost surely, 227441420 is an apocalyptic number.

27441420 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 27441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40449024).

27441420 is an abundant number, since it is smaller than the sum of its proper divisors (53456628).

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

27441420 is a wasteful number, since it uses less digits than its factorization.

27441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 27441420 is about 5238.4558793599. The cubic root of 27441420 is about 301.6260594012.

Adding to 27441420 its reverse (2414472), we get a palindrome (29855892).

The spelling of 27441420 in words is "twenty-seven million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 47 60 74 94 111 141 148 185 188 222 235 263 282 370 444 470 526 555 564 705 740 789 940 1052 1110 1315 1410 1578 1739 2220 2630 2820 3156 3478 3945 5217 5260 6956 7890 8695 9731 10434 12361 15780 17390 19462 20868 24722 26085 29193 34780 37083 38924 48655 49444 52170 58386 61805 74166 97310 104340 116772 123610 145965 148332 185415 194620 247220 291930 370830 457357 583860 741660 914714 1372071 1829428 2286785 2744142 4573570 5488284 6860355 9147140 13720710 27441420