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203980 = 22573147
BaseRepresentation
bin110001110011001100
3101100210211
4301303030
523011410
64212204
71506460
oct616314
9340724
10203980
1112a287
129a064
1371aca
14544a0
154068a
hex31ccc

203980 has 48 divisors (see below), whose sum is σ = 516096. Its totient is φ = 66240.

The previous prime is 203977. The next prime is 203989. The reversal of 203980 is 89302.

203980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (203989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4317 + ... + 4363.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2203980 is an apocalyptic number.

203980 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 203980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048).

203980 is an abundant number, since it is smaller than the sum of its proper divisors (312116).

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

203980 is a wasteful number, since it uses less digits than its factorization.

203980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 203980 is about 451.6414507106. The cubic root of 203980 is about 58.8657293264.

The spelling of 203980 in words is "two hundred three thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 47 62 70 94 124 140 155 188 217 235 310 329 434 470 620 658 868 940 1085 1316 1457 1645 2170 2914 3290 4340 5828 6580 7285 10199 14570 20398 29140 40796 50995 101990 203980