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27241220 = 22541139239
BaseRepresentation
bin110011111101…
…0101100000100
31220020222221002
41213322230010
523433204340
62411512432
7450355316
oct147725404
956228832
1027241220
1114416806
129158718
13584a386
1438917b6
1525d1715
hex19fab04

27241220 has 48 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 10510080.

The previous prime is 27241187. The next prime is 27241241. The reversal of 27241220 is 2214272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 27241192 and 27241201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113861 + ... + 114099.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 227241220 is an apocalyptic number.

27241220 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 27241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

27241220 is an abundant number, since it is smaller than the sum of its proper divisors (32029180).

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

27241220 is a wasteful number, since it uses less digits than its factorization.

27241220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 27241220 is about 5219.3122152253. The cubic root of 27241220 is about 300.8907599454.

Adding to 27241220 its reverse (2214272), we get a palindrome (29455492).

The spelling of 27241220 in words is "twenty-seven million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 139 164 205 239 278 410 478 556 695 820 956 1195 1390 2390 2780 4780 5699 9799 11398 19598 22796 28495 33221 39196 48995 56990 66442 97990 113980 132884 166105 195980 332210 664420 1362061 2724122 5448244 6810305 13620610 27241220