Search a number
-
+
166704768 = 2732144709
BaseRepresentation
bin10011110111110…
…11011010000000
3102121200110221200
421323323122000
5320134023033
624313021200
74062652506
oct1173733200
9377613850
10166704768
118611183a
12479b4800
13286ca499
14181d6676
15e97e013
hex9efb680

166704768 has 48 divisors (see below), whose sum is σ = 479713650. Its totient is φ = 55567872.

The previous prime is 166704691. The next prime is 166704781. The reversal of 166704768 is 867407661.

166704768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 163635264 + 3069504 = 12792^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71203 + ... + 73506.

Almost surely, 2166704768 is an apocalyptic number.

166704768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166704768 is an abundant number, since it is smaller than the sum of its proper divisors (313008882).

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

166704768 is a wasteful number, since it uses less digits than its factorization.

166704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144729 (or 144714 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 166704768 is about 12911.4200613256. The cubic root of 166704768 is about 550.3631408975.

The spelling of 166704768 in words is "one hundred sixty-six million, seven hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 144709 289418 434127 578836 868254 1157672 1302381 1736508 2315344 2604762 3473016 4630688 5209524 6946032 9261376 10419048 13892064 18522752 20838096 27784128 41676192 55568256 83352384 166704768