Search a number
-
+
200720 = 24513193
BaseRepresentation
bin110001000000010000
3101012100002
4301000100
522410340
64145132
71464122
oct610020
9335302
10200720
11127893
12981a8
1370490
1453212
153e715
hex31010

200720 has 40 divisors (see below), whose sum is σ = 505176. Its totient is φ = 73728.

The previous prime is 200713. The next prime is 200723. The reversal of 200720 is 27002.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 200704 = 4^2 + 448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 944 + ... + 1136.

2200720 is an apocalyptic number.

200720 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 200720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252588).

200720 is an abundant number, since it is smaller than the sum of its proper divisors (304456).

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

200720 is a wasteful number, since it uses less digits than its factorization.

200720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 200720 is about 448.0178567870. The cubic root of 200720 is about 58.5504471463.

Adding to 200720 its reverse (27002), we get a palindrome (227722).

The spelling of 200720 in words is "two hundred thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 193 208 260 386 520 772 965 1040 1544 1930 2509 3088 3860 5018 7720 10036 12545 15440 20072 25090 40144 50180 100360 200720