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506666960 = 2456333337
BaseRepresentation
bin11110001100110…
…001111111010000
31022022101100101222
4132030301333100
52014201320320
6122135344212
715361412102
oct3614617720
91268340358
10506666960
11240000428
12121822068
1380c7a847
144b40d572
152e733825
hex1e331fd0

506666960 has 20 divisors (see below), whose sum is σ = 1178000868. Its totient is φ = 202666752.

The previous prime is 506666959. The next prime is 506666969. The reversal of 506666960 is 69666605.

It can be written as a sum of positive squares in 2 ways, for example, as 304572304 + 202094656 = 17452^2 + 14216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×5066669602 = 513422816711283200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506666969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3166589 + ... + 3166748.

Almost surely, 2506666960 is an apocalyptic number.

It is an amenable number.

506666960 is an abundant number, since it is smaller than the sum of its proper divisors (671333908).

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

506666960 is a wasteful number, since it uses less digits than its factorization.

506666960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333350 (or 6333344 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The square root of 506666960 is about 22509.2638706822. The cubic root of 506666960 is about 797.2126748016.

The spelling of 506666960 in words is "five hundred six million, six hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6333337 12666674 25333348 31666685 50666696 63333370 101333392 126666740 253333480 506666960