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203000720 = 24513195193
BaseRepresentation
bin11000001100110…
…00101110010000
3112010222111122012
430012120232100
5403432010340
632051002052
75013322556
oct1406305620
9463874565
10203000720
11a465249a
1257b99328
1333098090
141cd63bd6
1512c4d565
hexc198b90

203000720 has 40 divisors (see below), whose sum is σ = 508285176. Its totient is φ = 74953728.

The previous prime is 203000701. The next prime is 203000761. The reversal of 203000720 is 27000302.

It can be written as a sum of positive squares in 4 ways, for example, as 3400336 + 199600384 = 1844^2 + 14128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 203000695 and 203000704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96557 + ... + 98636.

Almost surely, 2203000720 is an apocalyptic number.

203000720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203000720 is an abundant number, since it is smaller than the sum of its proper divisors (305284456).

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

203000720 is a wasteful number, since it uses less digits than its factorization.

203000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195219 (or 195213 counting only the distinct ones).

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

The square root of 203000720 is about 14247.8321157992. The cubic root of 203000720 is about 587.7137607534.

The spelling of 203000720 in words is "two hundred three million, seven hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 195193 390386 780772 975965 1561544 1951930 2537509 3123088 3903860 5075018 7807720 10150036 12687545 15615440 20300072 25375090 40600144 50750180 101500360 203000720