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73084105 = 5171018513
BaseRepresentation
bin1000101101100…
…10110011001001
312002112001112201
410112302303021
5122202142410
611130240201
71545130123
oct426626311
9162461481
1073084105
1138288196
1220586061
13121ab543
1499c6213
15663983a
hex45b2cc9

73084105 has 16 divisors (see below), whose sum is σ = 93790224. Its totient is φ = 54476800.

The previous prime is 73084079. The next prime is 73084111. The reversal of 73084105 is 50148037.

It can be written as a sum of positive squares in 8 ways, for example, as 29365561 + 43718544 = 5419^2 + 6612^2 .

It is not a de Polignac number, because 73084105 - 27 = 73083977 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4329 + ... + 12841.

It is an arithmetic number, because the mean of its divisors is an integer number (5861889).

Almost surely, 273084105 is an apocalyptic number.

It is an amenable number.

73084105 is a deficient number, since it is larger than the sum of its proper divisors (20706119).

73084105 is a wasteful number, since it uses less digits than its factorization.

73084105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 73084105 is about 8548.9242013250. The cubic root of 73084105 is about 418.0943618380.

The spelling of 73084105 in words is "seventy-three million, eighty-four thousand, one hundred five".

Divisors: 1 5 17 85 101 505 1717 8513 8585 42565 144721 723605 859813 4299065 14616821 73084105