Search a number
-
+
166901280 = 25357133821
BaseRepresentation
bin10011111001010…
…11011000100000
3102122001110111220
421330223120200
5320211320110
624321135040
74064431440
oct1174533040
9378043456
10166901280
1186236447
1247a8a480
1328768a70
1418248120
15e9bc370
hex9f2b620

166901280 has 192 divisors, whose sum is σ = 647232768. Its totient is φ = 35205120.

The previous prime is 166901261. The next prime is 166901309. The reversal of 166901280 is 82109661.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41770 + ... + 45590.

It is an arithmetic number, because the mean of its divisors is an integer number (3371004).

Almost surely, 2166901280 is an apocalyptic number.

166901280 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 166901280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323616384).

166901280 is an abundant number, since it is smaller than the sum of its proper divisors (480331488).

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

166901280 is a wasteful number, since it uses less digits than its factorization.

166901280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 166901280 is about 12919.0278272012. The cubic root of 166901280 is about 550.5793124636.

The spelling of 166901280 in words is "one hundred sixty-six million, nine hundred one thousand, two hundred eighty".