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12772242 = 234721609
BaseRepresentation
bin110000101110…
…001110010010
3220000220020000
4300232032102
511232202432
61133430430
7213363600
oct60561622
926026200
1012772242
117233a7a
12433b416
132852652
1419a6870
1511c457c
hexc2e392

12772242 has 60 divisors (see below), whose sum is σ = 33312510. Its totient is φ = 3646944.

The previous prime is 12772231. The next prime is 12772259. The reversal of 12772242 is 24227721.

It can be written as a sum of positive squares in only one way, i.e., 7338681 + 5433561 = 2709^2 + 2331^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 7134 + ... + 8742.

Almost surely, 212772242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12772242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656255).

12772242 is an abundant number, since it is smaller than the sum of its proper divisors (20540268).

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

12772242 is a wasteful number, since it uses less digits than its factorization.

12772242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1621 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 12772242 is about 3573.8273601281. The cubic root of 12772242 is about 233.7522031687.

Adding to 12772242 its reverse (24227721), we get a palindrome (36999963).

The spelling of 12772242 in words is "twelve million, seven hundred seventy-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 1609 2646 3218 3969 4827 7938 9654 11263 14481 22526 28962 33789 43443 67578 78841 86886 101367 130329 157682 202734 236523 260658 304101 473046 608202 709569 912303 1419138 1824606 2128707 4257414 6386121 12772242