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667830672 = 24324637713
BaseRepresentation
bin100111110011100…
…100100110010000
31201112122022110100
4213303210212100
52331431040142
6150133532400
722356316125
oct4763444620
91645568410
10667830672
11312a78083
121677a4100
13a8487ba2
14649a274c
153d96ab4c
hex27ce4990

667830672 has 30 divisors (see below), whose sum is σ = 1868998742. Its totient is φ = 222610176.

The previous prime is 667830671. The next prime is 667830701. The reversal of 667830672 is 276038766.

It can be written as a sum of positive squares in only one way, i.e., 667498896 + 331776 = 25836^2 + 576^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (667830671) 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, 2318713 + ... + 2319000.

Almost surely, 2667830672 is an apocalyptic number.

It is an amenable number.

667830672 is an abundant number, since it is smaller than the sum of its proper divisors (1201168070).

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

667830672 is a wasteful number, since it uses less digits than its factorization.

667830672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637727 (or 4637718 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 667830672 is about 25842.4200105176. The cubic root of 667830672 is about 874.0885952776.

The spelling of 667830672 in words is "six hundred sixty-seven million, eight hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4637713 9275426 13913139 18550852 27826278 37101704 41739417 55652556 74203408 83478834 111305112 166957668 222610224 333915336 667830672