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13206078 = 23529937
BaseRepresentation
bin110010011000…
…001000111110
3220211221100000
4302120020332
511340043303
61151015130
7220151454
oct62301076
926757300
1013206078
1174aaa16
12450a4a6
132974c62
141a7a9d4
15125cda3
hexc9823e

13206078 has 48 divisors (see below), whose sum is σ = 30728880. Its totient is φ = 4245696.

The previous prime is 13206043. The next prime is 13206131. The reversal of 13206078 is 87060231.

It is a super-2 number, since 2×132060782 = 348800992284168, which contains 22 as substring.

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

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 13626 + ... + 14562.

It is an arithmetic number, because the mean of its divisors is an integer number (640185).

Almost surely, 213206078 is an apocalyptic number.

13206078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13206078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364440).

13206078 is an abundant number, since it is smaller than the sum of its proper divisors (17522802).

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

13206078 is an equidigital number, since it uses as much as digits as its factorization.

13206078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13206078 is about 3634.0167858721. The cubic root of 13206078 is about 236.3694180852.

The spelling of 13206078 in words is "thirteen million, two hundred six thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 937 1566 1874 2349 2811 4698 5622 7047 8433 14094 16866 25299 27173 50598 54346 75897 81519 151794 163038 227691 244557 455382 489114 733671 1467342 2201013 4402026 6603039 13206078