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427605680 = 2456178663
BaseRepresentation
bin11001011111001…
…011111010110000
31002210121121201102
4121133023322300
51333431340210
6110233023532
713411405535
oct3137137260
91083547642
10427605680
111aa410527
12bb254ba8
136a788818
1440b0cd8c
1527817ea5
hex197cbeb0

427605680 has 40 divisors (see below), whose sum is σ = 995909472. Its totient is φ = 170745344.

The previous prime is 427605677. The next prime is 427605683. The reversal of 427605680 is 86506724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427605677) and next prime (427605683).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (427605683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45029 + ... + 53691.

Almost surely, 2427605680 is an apocalyptic number.

427605680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427605680 is an abundant number, since it is smaller than the sum of its proper divisors (568303792).

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

427605680 is a wasteful number, since it uses less digits than its factorization.

427605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 427605680 is about 20678.6285812188. The cubic root of 427605680 is about 753.3806968072.

The spelling of 427605680 in words is "four hundred twenty-seven million, six hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 617 1234 2468 3085 4936 6170 8663 9872 12340 17326 24680 34652 43315 49360 69304 86630 138608 173260 346520 693040 5345071 10690142 21380284 26725355 42760568 53450710 85521136 106901420 213802840 427605680