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13685760 = 21035511
BaseRepresentation
bin110100001101…
…010000000000
3221202022100000
4310031100000
512000421020
61205200000
7224220114
oct64152000
927668300
1013685760
1177a8350
124700000
132ab23aa
141b63744
151305090
hexd0d400

13685760 has 264 divisors, whose sum is σ = 53647776. Its totient is φ = 3317760.

The previous prime is 13685741. The next prime is 13685773. The reversal of 13685760 is 6758631.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244155 + ... + 1244165.

Almost surely, 213685760 is an apocalyptic number.

13685760 is a gapful number since it is divisible by the number (10) 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 13685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823888).

13685760 is an abundant number, since it is smaller than the sum of its proper divisors (39962016).

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

13685760 is an equidigital number, since it uses as much as digits as its factorization.

13685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 13685760 is about 3699.4269826556. The cubic root of 13685760 is about 239.1973184190.

The spelling of 13685760 in words is "thirteen million, six hundred eighty-five thousand, seven hundred sixty".