Search a number
-
+
203720 = 23511463
BaseRepresentation
bin110001101111001000
3101100110012
4301233020
523004340
64211052
71505636
oct615710
9340405
10203720
1112a070
1299a88
137195a
1454356
1540565
hex31bc8

203720 has 32 divisors (see below), whose sum is σ = 501120. Its totient is φ = 73920.

The previous prime is 203713. The next prime is 203761. The reversal of 203720 is 27302.

203720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 203695 and 203704.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203720.

It is an unprimeable number.

203720 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, 209 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (15660).

2203720 is an apocalyptic number.

203720 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 203720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250560).

203720 is an abundant number, since it is smaller than the sum of its proper divisors (297400).

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

203720 is a wasteful number, since it uses less digits than its factorization.

203720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 203720 is about 451.3535199818. The cubic root of 203720 is about 58.8407079240.

The spelling of 203720 in words is "two hundred three thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 463 926 1852 2315 3704 4630 5093 9260 10186 18520 20372 25465 40744 50930 101860 203720