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11933936 = 247127839
BaseRepresentation
bin101101100001…
…100011110000
3211110022021122
4231201203300
511023341221
61103441412
7203302550
oct55414360
924408248
1011933936
116811163
123bb6268
13261ac01
141829160
1510aaeab
hexb618f0

11933936 has 40 divisors (see below), whose sum is σ = 26664960. Its totient is φ = 5068224.

The previous prime is 11933927. The next prime is 11933939. The reversal of 11933936 is 63933911.

It is a junction number, because it is equal to n+sod(n) for n = 11933896 and 11933905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11933939) 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, 13805 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (666624).

Almost surely, 211933936 is an apocalyptic number.

11933936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11933936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480).

11933936 is an abundant number, since it is smaller than the sum of its proper divisors (14731024).

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

11933936 is a wasteful number, since it uses less digits than its factorization.

11933936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its digits is 13122, while the sum is 35.

The square root of 11933936 is about 3454.5529377909. The cubic root of 11933936 is about 228.5219395833.

The spelling of 11933936 in words is "eleven million, nine hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 839 889 1016 1678 1778 2032 3356 3556 5873 6712 7112 11746 13424 14224 23492 46984 93968 106553 213106 426212 745871 852424 1491742 1704848 2983484 5966968 11933936