Search a number
-
+
160200 = 23325289
BaseRepresentation
bin100111000111001000
322010202100
4213013020
520111300
63233400
71235025
oct470710
9263670
10160200
11aa3a7
1278860
1357bc1
144254c
1532700
hex271c8

160200 has 72 divisors (see below), whose sum is σ = 544050. Its totient is φ = 42240.

The previous prime is 160183. The next prime is 160201. The reversal of 160200 is 2061.

It can be written as a sum of positive squares in 3 ways, for example, as 93636 + 66564 = 306^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 160200.

It is not an unprimeable number, because it can be changed into a prime (160201) by changing a digit.

160200 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 17 ways as a sum of consecutive naturals, for example, 1756 + ... + 1844.

2160200 is an apocalyptic number.

160200 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 160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272025).

160200 is an abundant number, since it is smaller than the sum of its proper divisors (383850).

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

160200 is a wasteful number, since it uses less digits than its factorization.

160200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 160200 is about 400.2499219238. The cubic root of 160200 is about 54.3109630602.

Adding to 160200 its reverse (2061), we get a palindrome (162261).

The spelling of 160200 in words is "one hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 89 90 100 120 150 178 180 200 225 267 300 356 360 445 450 534 600 712 801 890 900 1068 1335 1602 1780 1800 2136 2225 2670 3204 3560 4005 4450 5340 6408 6675 8010 8900 10680 13350 16020 17800 20025 26700 32040 40050 53400 80100 160200