Search a number
-
+
73014606 = 23272194357
BaseRepresentation
bin1000101101000…
…01110101001110
312002101112012200
410112201311032
5122142431411
611124542330
71544420400
oct426416516
9162345180
1073014606
113823aa55
12205519a6
1312185a12
1499a8b70
156623e56
hex45a1d4e

73014606 has 72 divisors (see below), whose sum is σ = 193756680. Its totient is φ = 19758816.

The previous prime is 73014593. The next prime is 73014607. The reversal of 73014606 is 60641037.

It is a super-2 number, since 2×730146062 = 10662265378670472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73014606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73014607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14580 + ... + 18936.

It is an arithmetic number, because the mean of its divisors is an integer number (2691065).

Almost surely, 273014606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73014606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96878340).

73014606 is an abundant number, since it is smaller than the sum of its proper divisors (120742074).

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

73014606 is a wasteful number, since it uses less digits than its factorization.

73014606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73014606 is about 8544.8584540646. The cubic root of 73014606 is about 417.9617914909.

The spelling of 73014606 in words is "seventy-three million, fourteen thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 4357 5586 8379 8714 13071 16758 26142 30499 39213 60998 78426 82783 91497 165566 182994 213493 248349 274491 426986 496698 548982 579481 640479 745047 1158962 1280958 1490094 1738443 1921437 3476886 3842874 4056367 5215329 8112734 10430658 12169101 24338202 36507303 73014606