Search a number
-
+
73730205 = 3251978317
BaseRepresentation
bin1000110010100…
…00100010011101
312010201212211100
410121100202131
5122333331310
611152143313
71553460603
oct431204235
9163655740
1073730205
113868965a
1220837b39
1312376653
149b13873
156715ec0
hex465089d

73730205 has 24 divisors (see below), whose sum is σ = 128463192. Its totient is φ = 39118464.

The previous prime is 73730201. The next prime is 73730221. The reversal of 73730205 is 50203737.

It can be written as a sum of positive squares in 4 ways, for example, as 50168889 + 23561316 = 7083^2 + 4854^2 .

It is not a de Polignac number, because 73730205 - 22 = 73730201 is a prime.

It is a super-2 number, since 2×737302052 = 10872286258684050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73730201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4707 + ... + 13023.

It is an arithmetic number, because the mean of its divisors is an integer number (5352633).

Almost surely, 273730205 is an apocalyptic number.

It is an amenable number.

73730205 is a deficient number, since it is larger than the sum of its proper divisors (54732987).

73730205 is a wasteful number, since it uses less digits than its factorization.

73730205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 73730205 is about 8586.6294318551. The cubic root of 73730205 is about 419.3228032508.

The spelling of 73730205 in words is "seventy-three million, seven hundred thirty thousand, two hundred five".

Divisors: 1 3 5 9 15 45 197 591 985 1773 2955 8317 8865 24951 41585 74853 124755 374265 1638449 4915347 8192245 14746041 24576735 73730205