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73086164 = 2233735417
BaseRepresentation
bin1000101101100…
…11010011010100
312002112011100222
410112303103110
5122202224124
611130253512
71545136124
oct426632324
9162464328
1073086164
1138289798
1220587298
13121ac468
1499c6c84
15663a25e
hex45b34d4

73086164 has 12 divisors (see below), whose sum is σ = 127962324. Its totient is φ = 36525504.

The previous prime is 73086161. The next prime is 73086227. The reversal of 73086164 is 46168037.

It can be written as a sum of positive squares in 2 ways, for example, as 43296400 + 29789764 = 6580^2 + 5458^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73086161) 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 3 ways as a sum of consecutive naturals, for example, 10784 + ... + 16200.

It is an arithmetic number, because the mean of its divisors is an integer number (10663527).

Almost surely, 273086164 is an apocalyptic number.

It is an amenable number.

73086164 is a deficient number, since it is larger than the sum of its proper divisors (54876160).

73086164 is a wasteful number, since it uses less digits than its factorization.

73086164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8792 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 73086164 is about 8549.0446249859. The cubic root of 73086164 is about 418.0982881282.

The spelling of 73086164 in words is "seventy-three million, eighty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 3373 5417 6746 10834 13492 21668 18271541 36543082 73086164