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11668860 = 2235574
BaseRepresentation
bin101100100000…
…110101111100
3210221211200000
4230200311330
510441400420
61054034300
7201120000
oct54406574
923854600
1011668860
11664aa95
123aa8990
132557368
14179a700
151057690
hexb20d7c

11668860 has 180 divisors, whose sum is σ = 42821688. Its totient is φ = 2667168.

The previous prime is 11668859. The next prime is 11668871. The reversal of 11668860 is 6886611.

11668860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1666977 + ... + 1666983.

Almost surely, 211668860 is an apocalyptic number.

11668860 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 11668860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410844).

11668860 is an abundant number, since it is smaller than the sum of its proper divisors (31152828).

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

11668860 is an frugal number, since it uses more digits than its factorization.

11668860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 11668860 is about 3415.9713113549. The cubic root of 11668860 is about 226.8172826336.

The spelling of 11668860 in words is "eleven million, six hundred sixty-eight thousand, eight hundred sixty".