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27011322 = 23213891297
BaseRepresentation
bin110011100001…
…0100011111010
31212211022120100
41213002203322
523403330242
62402540230
7445410132
oct147024372
955738510
1027011322
111427a008
129067676
135799840
143831ac2
15258854c
hex19c28fa

27011322 has 48 divisors (see below), whose sum is σ = 63783720. Its totient is φ = 8211456.

The previous prime is 27011297. The next prime is 27011357. The reversal of 27011322 is 22311072.

It can be written as a sum of positive squares in 4 ways, for example, as 23126481 + 3884841 = 4809^2 + 1971^2 .

It is a super-2 number, since 2×270113222 = 1459223032375368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27011295 and 27011304.

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 23 ways as a sum of consecutive naturals, for example, 20178 + ... + 21474.

Almost surely, 227011322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891860).

27011322 is an abundant number, since it is smaller than the sum of its proper divisors (36772398).

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

27011322 is a wasteful number, since it uses less digits than its factorization.

27011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 27011322 is about 5197.2417684768. The cubic root of 27011322 is about 300.0419274734.

Adding to 27011322 its reverse (22311072), we get a palindrome (49322394).

The spelling of 27011322 in words is "twenty-seven million, eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1297 1602 2314 2594 3471 3891 6942 7782 10413 11673 16861 20826 23346 33722 50583 101166 115433 151749 230866 303498 346299 692598 1038897 1500629 2077794 3001258 4501887 9003774 13505661 27011322