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666095040 = 263251317791
BaseRepresentation
bin100111101100111…
…100110111000000
31201102101010121200
4213230330313000
52331010020130
6150032421200
722335500022
oct4754746700
91642333550
10666095040
11311aa2076
121670a7800
13a7ccaba0
1464670012
153d726760
hex27b3cdc0

666095040 has 168 divisors, whose sum is σ = 2467465728. Its totient is φ = 163952640.

The previous prime is 666095033. The next prime is 666095063. The reversal of 666095040 is 40590666.

It is a happy number.

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

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 666094986 and 666095004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28545 + ... + 46335.

It is an arithmetic number, because the mean of its divisors is an integer number (14687296).

Almost surely, 2666095040 is an apocalyptic number.

666095040 is a gapful number since it is divisible by the number (60) 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 666095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233732864).

666095040 is an abundant number, since it is smaller than the sum of its proper divisors (1801370688).

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

666095040 is a wasteful number, since it uses less digits than its factorization.

666095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17827 (or 17814 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 666095040 is about 25808.8170980384. The cubic root of 666095040 is about 873.3307123956.

The spelling of 666095040 in words is "six hundred sixty-six million, ninety-five thousand, forty".