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12721772 = 2272471381
BaseRepresentation
bin110000100001…
…111001101100
3212221022222202
4300201321230
511224044042
61132401032
7213063500
oct60417154
925838882
1012721772
1171aa068
124316178
13283569b
141992300
1511b4632
hexc21e6c

12721772 has 36 divisors (see below), whose sum is σ = 26468064. Its totient is φ = 5332320.

The previous prime is 12721771. The next prime is 12721777. The reversal of 12721772 is 27712721.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12721771) by changing a digit.

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, 8522 + ... + 9902.

It is an arithmetic number, because the mean of its divisors is an integer number (735224).

Almost surely, 212721772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12721772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234032).

12721772 is an abundant number, since it is smaller than the sum of its proper divisors (13746292).

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

12721772 is a wasteful number, since it uses less digits than its factorization.

12721772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its digits is 2744, while the sum is 29.

The square root of 12721772 is about 3566.7593134385. The cubic root of 12721772 is about 233.4439031515.

The spelling of 12721772 in words is "twelve million, seven hundred twenty-one thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 1381 2303 2762 4606 5524 9212 9667 19334 38668 64907 67669 129814 135338 259628 270676 454349 908698 1817396 3180443 6360886 12721772