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166482240 = 26353743109
BaseRepresentation
bin10011110110001…
…01000101000000
3102121021011200220
421323011011000
5320104412430
624304143040
74061034651
oct1173050500
9377234626
10166482240
1185a7a631
1247907a80
1328650102
1418179528
15e938110
hex9ec5140

166482240 has 224 divisors, whose sum is σ = 560588160. Its totient is φ = 41803776.

The previous prime is 166482233. The next prime is 166482271. The reversal of 166482240 is 42284661.

166482240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527306 + ... + 1527414.

Almost surely, 2166482240 is an apocalyptic number.

166482240 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 166482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280294080).

166482240 is an abundant number, since it is smaller than the sum of its proper divisors (394105920).

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

166482240 is a wasteful number, since it uses less digits than its factorization.

166482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 166482240 is about 12902.7996961900. The cubic root of 166482240 is about 550.1181454183.

The spelling of 166482240 in words is "one hundred sixty-six million, four hundred eighty-two thousand, two hundred forty".