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200790 = 23252397
BaseRepresentation
bin110001000001010110
3101012102200
4301001112
522411130
64145330
71464252
oct610126
9335380
10200790
11127947
1298246
1370515
1453262
153e760
hex31056

200790 has 48 divisors (see below), whose sum is σ = 550368. Its totient is φ = 50688.

The previous prime is 200789. The next prime is 200797. The reversal of 200790 is 97002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2022 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2200790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

200790 is an abundant number, since it is smaller than the sum of its proper divisors (349578).

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

200790 is a wasteful number, since it uses less digits than its factorization.

200790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 200790 is about 448.0959718632. The cubic root of 200790 is about 58.5572527377.

Adding to 200790 its reverse (97002), we get a palindrome (297792).

It can be divided in two parts, 200 and 790, that added together give a triangular number (990 = T44).

The spelling of 200790 in words is "two hundred thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 97 115 138 194 207 230 291 345 414 485 582 690 873 970 1035 1455 1746 2070 2231 2910 4365 4462 6693 8730 11155 13386 20079 22310 33465 40158 66930 100395 200790