Search a number
-
+
1666103040 = 2833577197
BaseRepresentation
bin110001101001110…
…1011011100000000
311022010001210201000
41203103223130000
511403010244130
6433154212000
756200433160
oct14323533400
94263053630
101666103040
11785520968
123a5b84000
1320723b8b4
1411b3c05a0
159b40a260
hex634eb700

1666103040 has 576 divisors, whose sum is σ = 6922782720. Its totient is φ = 371589120.

The previous prime is 1666103039. The next prime is 1666103057. The reversal of 1666103040 is 403016661.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 1666102995 and 1666103013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17176272 + ... + 17176368.

It is an arithmetic number, because the mean of its divisors is an integer number (12018720).

Almost surely, 21666103040 is an apocalyptic number.

1666103040 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 1666103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461391360).

1666103040 is an abundant number, since it is smaller than the sum of its proper divisors (5256679680).

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

1666103040 is an equidigital number, since it uses as much as digits as its factorization.

1666103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1666103040 is about 40817.9254739875. The cubic root of 1666103040 is about 1185.4974357669.

The spelling of 1666103040 in words is "one billion, six hundred sixty-six million, one hundred three thousand, forty".