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668173200 = 24352556811
BaseRepresentation
bin100111110100111…
…000001110010000
31201120021201022120
4213310320032100
52332023020300
6150145134240
722362243552
oct4764701620
91646251276
10668173200
11313191462
1216792a380
13a8577a76
1464a514d2
153d9d73a0
hex27d38390

668173200 has 60 divisors (see below), whose sum is σ = 2140385328. Its totient is φ = 178179200.

The previous prime is 668173193. The next prime is 668173201. The reversal of 668173200 is 2371866.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (668173201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277206 + ... + 279605.

Almost surely, 2668173200 is an apocalyptic number.

668173200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668173200 is an abundant number, since it is smaller than the sum of its proper divisors (1472212128).

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

668173200 is a wasteful number, since it uses less digits than its factorization.

668173200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556832 (or 556821 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 668173200 is about 25849.0464040746. The cubic root of 668173200 is about 874.2380087235.

The spelling of 668173200 in words is "six hundred sixty-eight million, one hundred seventy-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 556811 1113622 1670433 2227244 2784055 3340866 4454488 5568110 6681732 8352165 8908976 11136220 13363464 13920275 16704330 22272440 26726928 27840550 33408660 41760825 44544880 55681100 66817320 83521650 111362200 133634640 167043300 222724400 334086600 668173200