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667728460 = 225741116329
BaseRepresentation
bin100111110011001…
…011101001001100
31201112110010020201
4213303023221030
52331414302320
6150131423244
722355412130
oct4763135114
91645403221
10667728460
11312a08303
12167754b24
13a84504c9
14649773c0
153d94a70a
hex27ccba4c

667728460 has 48 divisors (see below), whose sum is σ = 1641648960. Its totient is φ = 223349760.

The previous prime is 667728409. The next prime is 667728491. The reversal of 667728460 is 64827766.

It is a super-2 number, since 2×6677284602 = 891722592587943200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 667728460.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52425 + ... + 63904.

It is an arithmetic number, because the mean of its divisors is an integer number (34201020).

Almost surely, 2667728460 is an apocalyptic number.

It is an amenable number.

667728460 is an abundant number, since it is smaller than the sum of its proper divisors (973920500).

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

667728460 is a wasteful number, since it uses less digits than its factorization.

667728460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116386 (or 116384 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 667728460 is about 25840.4423336753. The cubic root of 667728460 is about 874.0439996910.

The spelling of 667728460 in words is "six hundred sixty-seven million, seven hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 116329 232658 465316 581645 814303 1163290 1628606 2326580 3257212 4071515 4769489 8143030 9538978 16286060 19077956 23847445 33386423 47694890 66772846 95389780 133545692 166932115 333864230 667728460