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67007133 = 327445237
BaseRepresentation
bin1111111110011…
…1001010011101
311200002022111200
43333213022131
5114123212013
610352110113
71442360034
oct377471235
9150068450
1067007133
11349074a6
121a535339
1310b614bb
148c8371b
155d38e73
hex3fe729d

67007133 has 6 divisors (see below), whose sum is σ = 96788094. Its totient is φ = 44671416.

The previous prime is 67007123. The next prime is 67007141. The reversal of 67007133 is 33170076.

It can be written as a sum of positive squares in only one way, i.e., 66879684 + 127449 = 8178^2 + 357^2 .

It is not a de Polignac number, because 67007133 - 26 = 67007069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67007097 and 67007106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67007113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3722610 + ... + 3722627.

It is an arithmetic number, because the mean of its divisors is an integer number (16131349).

Almost surely, 267007133 is an apocalyptic number.

It is an amenable number.

67007133 is a deficient number, since it is larger than the sum of its proper divisors (29780961).

67007133 is a wasteful number, since it uses less digits than its factorization.

67007133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7445243 (or 7445240 counting only the distinct ones).

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

The square root of 67007133 is about 8185.7884775995. The cubic root of 67007133 is about 406.1692229772.

The spelling of 67007133 in words is "sixty-seven million, seven thousand, one hundred thirty-three".

Divisors: 1 3 9 7445237 22335711 67007133