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60200 = 2352743
BaseRepresentation
bin1110101100101000
310001120122
432230220
53411300
61142412
7340340
oct165450
9101518
1060200
1141258
122aa08
132152a
1417d20
1512c85
hexeb28

60200 has 48 divisors (see below), whose sum is σ = 163680. Its totient is φ = 20160.

The previous prime is 60169. The next prime is 60209. The reversal of 60200 is 206.

60200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60209) by changing a digit.

60200 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 11 ways as a sum of consecutive naturals, for example, 1379 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (3410).

260200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

60200 is an abundant number, since it is smaller than the sum of its proper divisors (103480).

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

60200 is a wasteful number, since it uses less digits than its factorization.

60200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 60200 is about 245.3568829277. The cubic root of 60200 is about 39.1921266986.

Adding to 60200 its reverse (206), we get a palindrome (60406).

The spelling of 60200 in words is "sixty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 140 172 175 200 215 280 301 344 350 430 602 700 860 1075 1204 1400 1505 1720 2150 2408 3010 4300 6020 7525 8600 12040 15050 30100 60200