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667000404 = 223274216287
BaseRepresentation
bin100111110000011…
…001111001010100
31201111002010112200
4213300121321110
52331223003104
6150104044500
722346260410
oct4760317124
91644063480
10667000404
11312560304
12167463730
13a8256cc5
1464827d40
153d854b39
hex27c19e54

667000404 has 72 divisors (see below), whose sum is σ = 1931774208. Its totient is φ = 190088640.

The previous prime is 667000403. The next prime is 667000409. The reversal of 667000404 is 404000766.

667000404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667000403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102949 + ... + 109235.

Almost surely, 2667000404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965887104).

667000404 is an abundant number, since it is smaller than the sum of its proper divisors (1264773804).

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

667000404 is a wasteful number, since it uses less digits than its factorization.

667000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 667000404 is about 25826.3509617600. The cubic root of 667000404 is about 873.7262136255.

The spelling of 667000404 in words is "six hundred sixty-seven million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 421 842 1263 1684 2526 2947 3789 5052 5894 6287 7578 8841 11788 12574 15156 17682 18861 25148 26523 35364 37722 44009 53046 56583 75444 88018 106092 113166 132027 176036 226332 264054 396081 528108 792162 1584324 2646827 5293654 7940481 10587308 15880962 18527789 23821443 31761924 37055578 47642886 55583367 74111156 95285772 111166734 166750101 222333468 333500202 667000404