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287166 = 231119229
BaseRepresentation
bin1000110000110111110
3112120220210
41012012332
533142131
610053250
72304135
oct1060676
9476823
10287166
11186830
1211a226
13a0929
147691c
155a146
hex461be

287166 has 32 divisors (see below), whose sum is σ = 662400. Its totient is φ = 82080.

The previous prime is 287159. The next prime is 287167. The reversal of 287166 is 661782.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287167) by changing a digit.

287166 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2287166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331200).

287166 is an abundant number, since it is smaller than the sum of its proper divisors (375234).

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

287166 is a wasteful number, since it uses less digits than its factorization.

287166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its digits is 4032, while the sum is 30.

The square root of 287166 is about 535.8787176218. The cubic root of 287166 is about 65.9747378066.

The spelling of 287166 in words is "two hundred eighty-seven thousand, one hundred sixty-six".