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200940 = 223517197
BaseRepresentation
bin110001000011101100
3101012122020
4301003230
522412230
64150140
71464555
oct610354
9335566
10200940
11127a73
1298350
13705cc
145332c
153e810
hex310ec

200940 has 48 divisors (see below), whose sum is σ = 598752. Its totient is φ = 50176.

The previous prime is 200929. The next prime is 200971. The reversal of 200940 is 49002.

200940 is digitally balanced in base 3, 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 (15).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (12474).

2200940 is an apocalyptic number.

200940 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 200940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299376).

200940 is an abundant number, since it is smaller than the sum of its proper divisors (397812).

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

200940 is a wasteful number, since it uses less digits than its factorization.

200940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 200940 is about 448.2633154743. The cubic root of 200940 is about 58.5718308236.

Adding to 200940 its reverse (49002), we get a palindrome (249942).

The spelling of 200940 in words is "two hundred thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 197 204 255 340 394 510 591 788 985 1020 1182 1970 2364 2955 3349 3940 5910 6698 10047 11820 13396 16745 20094 33490 40188 50235 66980 100470 200940