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14103936 = 273371153
BaseRepresentation
bin110101110011…
…010110000000
3222112112222000
4311303112000
512102311221
61222144000
7230611230
oct65632600
928475860
1014103936
117a63550
124882000
132bca832
141c31cc0
151388e26
hexd73580

14103936 has 256 divisors, whose sum is σ = 52876800. Its totient is φ = 3594240.

The previous prime is 14103917. The next prime is 14103961. The reversal of 14103936 is 63930141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 266086 + ... + 266138.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 214103936 is an apocalyptic number.

14103936 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 14103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

14103936 is an abundant number, since it is smaller than the sum of its proper divisors (38772864).

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

14103936 is a wasteful number, since it uses less digits than its factorization.

14103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 14103936 is about 3755.5207361962. The cubic root of 14103936 is about 241.6091863823.

The spelling of 14103936 in words is "fourteen million, one hundred three thousand, nine hundred thirty-six".