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99940009 = 1327692
BaseRepresentation
bin1011111010011…
…11011010101001
320222001110220211
411331033122221
5201041040014
613530021121
72322322201
oct575173251
9228043824
1099940009
1151460454
12295777a1
1317922400
14d3b7401
158b91cc4
hex5f4f6a9

99940009 has 9 divisors (see below), whose sum is σ = 108359973. Its totient is φ = 92132352.

The previous prime is 99940007. The next prime is 99940013. The reversal of 99940009 is 90004999.

The square root of 99940009 is 9997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22992025 + 76947984 = 4795^2 + 8772^2 .

It is not a de Polignac number, because 99940009 - 21 = 99940007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99940007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129577 + ... + 130345.

It is an arithmetic number, because the mean of its divisors is an integer number (12039997).

Almost surely, 299940009 is an apocalyptic number.

99940009 is the 9997-th square number.

99940009 is the 4999-th centered octagonal number.

It is an amenable number.

99940009 is a deficient number, since it is larger than the sum of its proper divisors (8419964).

99940009 is an frugal number, since it uses more digits than its factorization.

99940009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The cubic root of 99940009 is about 464.0660469424.

Multiplying 99940009 by its product of nonzero digits (26244), we get a square (2622825596196 = 16195142).

The spelling of 99940009 in words is "ninety-nine million, nine hundred forty thousand, nine".

Divisors: 1 13 169 769 9997 129961 591361 7687693 99940009