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11816672 = 25771743
BaseRepresentation
bin101101000100…
…111011100000
3211020100102112
4231010323200
511011113142
61101134452
7202303640
oct55047340
924210375
1011816672
11674104a
123b5a428
1325a971a
1417d8520
151086382
hexb44ee0

11816672 has 48 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 4986240.

The previous prime is 11816671. The next prime is 11816677. The reversal of 11816672 is 27661811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11816671) 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 7 ways as a sum of consecutive naturals, for example, 15533 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 211816672 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 11816672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

11816672 is an abundant number, since it is smaller than the sum of its proper divisors (15181600).

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

11816672 is an equidigital number, since it uses as much as digits as its factorization.

11816672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 11816672 is about 3437.5386543281. The cubic root of 11816672 is about 227.7709816907.

The spelling of 11816672 in words is "eleven million, eight hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 743 994 1136 1486 1988 2272 2972 3976 5201 5944 7952 10402 11888 15904 20804 23776 41608 52753 83216 105506 166432 211012 369271 422024 738542 844048 1477084 1688096 2954168 5908336 11816672