Search a number
-
+
166250040 = 2335112943101
BaseRepresentation
bin10011110100011…
…00011000111000
3102120211101011220
421322030120320
5320030000130
624255152040
74056046665
oct1172143070
9376741156
10166250040
1185931130
1247815620
132859b508
1418118a6c
15e8de410
hex9e8c638

166250040 has 256 divisors, whose sum is σ = 581644800. Its totient is φ = 37632000.

The previous prime is 166250027. The next prime is 166250041. The reversal of 166250040 is 40052661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166250041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1645990 + ... + 1646090.

It is an arithmetic number, because the mean of its divisors is an integer number (2272050).

Almost surely, 2166250040 is an apocalyptic number.

166250040 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 166250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

166250040 is an abundant number, since it is smaller than the sum of its proper divisors (415394760).

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

166250040 is a wasteful number, since it uses less digits than its factorization.

166250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 166250040 is about 12893.7985093610. The cubic root of 166250040 is about 549.8622685424.

The spelling of 166250040 in words is "one hundred sixty-six million, two hundred fifty thousand, forty".