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67130037 = 3213573761
BaseRepresentation
bin1000000000001…
…01001010110101
311200022120002200
410000011022311
5114141130122
610354455113
71443411252
oct400051265
9150276080
1067130037
1134990877
121a594499
1310ba5420
148cb6429
155d605ac
hex40052b5

67130037 has 12 divisors (see below), whose sum is σ = 104424684. Its totient is φ = 41310720.

The previous prime is 67130017. The next prime is 67130039. The reversal of 67130037 is 73003176.

It can be written as a sum of positive squares in 2 ways, for example, as 4498641 + 62631396 = 2121^2 + 7914^2 .

It is not a de Polignac number, because 67130037 - 28 = 67129781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67130039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286764 + ... + 286997.

It is an arithmetic number, because the mean of its divisors is an integer number (8702057).

Almost surely, 267130037 is an apocalyptic number.

It is an amenable number.

67130037 is a deficient number, since it is larger than the sum of its proper divisors (37294647).

67130037 is a wasteful number, since it uses less digits than its factorization.

67130037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573780 (or 573777 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 67130037 is about 8193.2921954487. The cubic root of 67130037 is about 406.4174021891.

The spelling of 67130037 in words is "sixty-seven million, one hundred thirty thousand, thirty-seven".

Divisors: 1 3 9 13 39 117 573761 1721283 5163849 7458893 22376679 67130037