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11726672 = 2429127199
BaseRepresentation
bin101100101110…
…111101010000
3211001202222012
4230232331100
511000223142
61055202052
7201450356
oct54567520
924052865
1011726672
11668a471
123b16328
132577779
1417b37d6
151069882
hexb2ef50

11726672 has 40 divisors (see below), whose sum is σ = 23808000. Its totient is φ = 5588352.

The previous prime is 11726609. The next prime is 11726683. The reversal of 11726672 is 27662711.

It is a plaindrome in base 13.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 58829 + ... + 59027.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 211726672 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 11726672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904000).

11726672 is an abundant number, since it is smaller than the sum of its proper divisors (12081328).

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

11726672 is a wasteful number, since it uses less digits than its factorization.

11726672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 11726672 is about 3424.4228710835. The cubic root of 11726672 is about 227.1912456126.

The spelling of 11726672 in words is "eleven million, seven hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 116 127 199 232 254 398 464 508 796 1016 1592 2032 3184 3683 5771 7366 11542 14732 23084 25273 29464 46168 50546 58928 92336 101092 202184 404368 732917 1465834 2931668 5863336 11726672