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67326006 = 231119531013
BaseRepresentation
bin1000000001101…
…01000000110110
311200200111220210
410000311000312
5114213413011
610403010250
71445155506
oct400650066
9150614823
1067326006
1135005030
121a669986
1310c43697
148d27a06
155d9d6a6
hex4035036

67326006 has 64 divisors (see below), whose sum is σ = 157697280. Its totient is φ = 18944640.

The previous prime is 67325971. The next prime is 67326011. The reversal of 67326006 is 60062376.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65956 + ... + 66968.

It is an arithmetic number, because the mean of its divisors is an integer number (2464020).

Almost surely, 267326006 is an apocalyptic number.

67326006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67326006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848640).

67326006 is an abundant number, since it is smaller than the sum of its proper divisors (90371274).

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

67326006 is a wasteful number, since it uses less digits than its factorization.

67326006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 67326006 is about 8205.2425923918. The cubic root of 67326006 is about 406.8124952533.

The spelling of 67326006 in words is "sixty-seven million, three hundred twenty-six thousand, six".

Divisors: 1 2 3 6 11 19 22 33 38 53 57 66 106 114 159 209 318 418 583 627 1007 1013 1166 1254 1749 2014 2026 3021 3039 3498 6042 6078 11077 11143 19247 22154 22286 33231 33429 38494 53689 57741 66462 66858 107378 115482 161067 211717 322134 423434 590579 635151 1020091 1181158 1270302 1771737 2040182 3060273 3543474 6120546 11221001 22442002 33663003 67326006