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667010440 = 23529575009
BaseRepresentation
bin100111110000011…
…100010110001000
31201111002122022101
4213300130112020
52331223313230
6150104203144
722346331565
oct4760342610
91644078271
10667010440
113125678a8
121674694b4
13a825b745
146482b86c
153d857aca
hex27c1c588

667010440 has 32 divisors (see below), whose sum is σ = 1552527000. Its totient is φ = 257603584.

The previous prime is 667010431. The next prime is 667010441. The reversal of 667010440 is 44010766.

It can be written as a sum of positive squares in 4 ways, for example, as 420332004 + 246678436 = 20502^2 + 15706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 667010399 and 667010408.

It is not an unprimeable number, because it can be changed into a prime (667010441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286345 + ... + 288664.

Almost surely, 2667010440 is an apocalyptic number.

It is an amenable number.

667010440 is an abundant number, since it is smaller than the sum of its proper divisors (885516560).

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

667010440 is a wasteful number, since it uses less digits than its factorization.

667010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575049 (or 575045 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 667010440 is about 25826.5452587062. The cubic root of 667010440 is about 873.7305957679.

The spelling of 667010440 in words is "six hundred sixty-seven million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 575009 1150018 2300036 2875045 4600072 5750090 11500180 16675261 23000360 33350522 66701044 83376305 133402088 166752610 333505220 667010440