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11870208 = 21332723
BaseRepresentation
bin101101010010…
…000000000000
3211100001212100
4231102000000
511014321313
61102230400
7202616010
oct55220000
924301770
1011870208
116778299
123b85400
1325c7bbc
14180dc40
151097173
hexb52000

11870208 has 168 divisors, whose sum is σ = 40891968. Its totient is φ = 3244032.

The previous prime is 11870207. The next prime is 11870219. The reversal of 11870208 is 80207811.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11870207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516085 + ... + 516107.

Almost surely, 211870208 is an apocalyptic number.

11870208 is a gapful number since it is divisible by the number (18) 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 11870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445984).

11870208 is an abundant number, since it is smaller than the sum of its proper divisors (29021760).

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

11870208 is an equidigital number, since it uses as much as digits as its factorization.

11870208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11870208 is about 3445.3168214259. The cubic root of 11870208 is about 228.1144393185.

The spelling of 11870208 in words is "eleven million, eight hundred seventy thousand, two hundred eight".