Search a number
-
+
283720 = 23541173
BaseRepresentation
bin1000101010001001000
3112102012011
41011101020
533034340
610025304
72261113
oct1052110
9472164
10283720
11184188
12118234
139c1a8
147557a
15590ea
hex45448

283720 has 32 divisors (see below), whose sum is σ = 657720. Its totient is φ = 110080.

The previous prime is 283697. The next prime is 283721. The reversal of 283720 is 27382.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 217156 + 66564 = 466^2 + 258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 283691 and 283700.

It is not an unprimeable number, because it can be changed into a prime (283721) by changing a digit.

283720 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 7 ways as a sum of consecutive naturals, for example, 1554 + ... + 1726.

2283720 is an apocalyptic number.

283720 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 283720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328860).

283720 is an abundant number, since it is smaller than the sum of its proper divisors (374000).

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

283720 is a wasteful number, since it uses less digits than its factorization.

283720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 283720 is about 532.6537336770. The cubic root of 283720 is about 65.7097755479.

The spelling of 283720 in words is "two hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 173 205 328 346 410 692 820 865 1384 1640 1730 3460 6920 7093 14186 28372 35465 56744 70930 141860 283720