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11927682 = 2331321307
BaseRepresentation
bin101101100000…
…000010000010
3211102222201000
4231200002002
511023141212
61103352430
7203245404
oct55400202
924388630
1011927682
116807498
123bb2716
132618100
141826b74
1510a91dc
hexb60082

11927682 has 48 divisors (see below), whose sum is σ = 28723680. Its totient is φ = 3667248.

The previous prime is 11927633. The next prime is 11927683. The reversal of 11927682 is 28672911.

Its product of digits (12096) is a multiple of the sum of its prime factors (1344).

It is not an unprimeable number, because it can be changed into a prime (11927683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8473 + ... + 9779.

It is an arithmetic number, because the mean of its divisors is an integer number (598410).

Almost surely, 211927682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11927682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361840).

11927682 is an abundant number, since it is smaller than the sum of its proper divisors (16795998).

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

11927682 is a wasteful number, since it uses less digits than its factorization.

11927682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1325 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11927682 is about 3453.6476369196. The cubic root of 11927682 is about 228.4820135009.

The spelling of 11927682 in words is "eleven million, nine hundred twenty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1307 1521 2614 3042 3921 4563 7842 9126 11763 16991 23526 33982 35289 50973 70578 101946 152919 220883 305838 441766 458757 662649 917514 1325298 1987947 3975894 5963841 11927682