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67005996 = 2235583833
BaseRepresentation
bin1111111110011…
…0111000101100
311200002020221120
43333212320230
5114123142441
610352100540
71442353521
oct377467054
9150066846
1067005996
1134906662
121a534750
1310b60b25
148c83148
155d38966
hex3fe6e2c

67005996 has 12 divisors (see below), whose sum is σ = 156347352. Its totient is φ = 22335328.

The previous prime is 67005977. The next prime is 67006003. The reversal of 67005996 is 69950076.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2791905 + ... + 2791928.

It is an arithmetic number, because the mean of its divisors is an integer number (13028946).

Almost surely, 267005996 is an apocalyptic number.

It is an amenable number.

67005996 is an abundant number, since it is smaller than the sum of its proper divisors (89341356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67005996 is a wasteful number, since it uses less digits than its factorization.

67005996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583840 (or 5583838 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 67005996 is about 8185.7190276725. The cubic root of 67005996 is about 406.1669256247.

The spelling of 67005996 in words is "sixty-seven million, five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 5583833 11167666 16751499 22335332 33502998 67005996