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67953145 = 5137314321
BaseRepresentation
bin1000000110011…
…10000111111001
311201212101012011
410003032013321
5114344000040
610424245521
71453410061
oct403160771
9151771164
1067953145
11353a3227
121a9108a1
1311102c80
14904c3a1
155e743ea
hex40ce1f9

67953145 has 16 divisors (see below), whose sum is σ = 89025552. Its totient is φ = 49489920.

The previous prime is 67953143. The next prime is 67953163. The reversal of 67953145 is 54135976.

It can be written as a sum of positive squares in 8 ways, for example, as 19900521 + 48052624 = 4461^2 + 6932^2 .

It is not a de Polignac number, because 67953145 - 21 = 67953143 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67953098 and 67953107.

It is not an unprimeable number, because it can be changed into a prime (67953143) 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 15 ways as a sum of consecutive naturals, for example, 2416 + ... + 11905.

It is an arithmetic number, because the mean of its divisors is an integer number (5564097).

Almost surely, 267953145 is an apocalyptic number.

67953145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67953145 is a deficient number, since it is larger than the sum of its proper divisors (21072407).

67953145 is a wasteful number, since it uses less digits than its factorization.

67953145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412.

The product of its digits is 113400, while the sum is 40.

The square root of 67953145 is about 8243.3697599950. The cubic root of 67953145 is about 408.0717406367.

It can be divided in two parts, 679 and 53145, that added together give a square (53824 = 2322).

The spelling of 67953145 in words is "sixty-seven million, nine hundred fifty-three thousand, one hundred forty-five".

Divisors: 1 5 13 65 73 365 949 4745 14321 71605 186173 930865 1045433 5227165 13590629 67953145