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200160 = 25325139
BaseRepresentation
bin110000110111100000
3101011120100
4300313200
522401120
64142400
71462362
oct606740
9334510
10200160
11127424
1297a00
137014c
1452d32
153e490
hex30de0

200160 has 72 divisors (see below), whose sum is σ = 687960. Its totient is φ = 52992.

The previous prime is 200159. The next prime is 200171. The reversal of 200160 is 61002.

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 a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 200160.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2200160 is an apocalyptic number.

200160 is a gapful number since it is divisible by the number (20) 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 200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

200160 is an abundant number, since it is smaller than the sum of its proper divisors (487800).

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

200160 is a wasteful number, since it uses less digits than its factorization.

200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

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

The square root of 200160 is about 447.3924451754. The cubic root of 200160 is about 58.4959453688.

Adding to 200160 its reverse (61002), we get a palindrome (261162).

The spelling of 200160 in words is "two hundred thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 139 144 160 180 240 278 288 360 417 480 556 695 720 834 1112 1251 1390 1440 1668 2085 2224 2502 2780 3336 4170 4448 5004 5560 6255 6672 8340 10008 11120 12510 13344 16680 20016 22240 25020 33360 40032 50040 66720 100080 200160