Search a number
-
+
74105001 = 3273149757
BaseRepresentation
bin1000110101011…
…00000010101001
312011102220221200
410122230002221
5122432330001
611204154413
71556611365
oct432540251
9164386850
1074105001
1138915203
1220998a09
1312478119
149bb02a5
15678c086
hex46ac0a9

74105001 has 24 divisors (see below), whose sum is σ = 109379400. Its totient is φ = 48335616.

The previous prime is 74104981. The next prime is 74105021. The reversal of 74105001 is 10050147.

It is an interprime number because it is at equal distance from previous prime (74104981) and next prime (74105021).

It can be written as a sum of positive squares in 4 ways, for example, as 5198400 + 68906601 = 2280^2 + 8301^2 .

It is not a de Polignac number, because 74105001 - 211 = 74102953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (74105021) 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, 97515 + ... + 98271.

It is an arithmetic number, because the mean of its divisors is an integer number (4557475).

Almost surely, 274105001 is an apocalyptic number.

It is an amenable number.

74105001 is a deficient number, since it is larger than the sum of its proper divisors (35274399).

74105001 is a wasteful number, since it uses less digits than its factorization.

74105001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 74105001 is about 8608.4261627780. The cubic root of 74105001 is about 420.0321233933.

Adding to 74105001 its reverse (10050147), we get a palindrome (84155148).

The spelling of 74105001 in words is "seventy-four million, one hundred five thousand, one".

Divisors: 1 3 9 73 149 219 447 657 757 1341 2271 6813 10877 32631 55261 97893 112793 165783 338379 497349 1015137 8233889 24701667 74105001