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427460960 = 2552671631
BaseRepresentation
bin11001011110101…
…000100101100000
31002210100021012102
4121132220211200
51333412222320
6110225545532
713410233603
oct3136504540
91083307172
10427460960
111aa321823
12bb1a52a8
136a7379a4
1440ab233a
15277da175
hex197a8960

427460960 has 24 divisors (see below), whose sum is σ = 1009876896. Its totient is φ = 170984320.

The previous prime is 427460951. The next prime is 427460981. The reversal of 427460960 is 69064724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1335656 + ... + 1335975.

It is an arithmetic number, because the mean of its divisors is an integer number (42078204).

Almost surely, 2427460960 is an apocalyptic number.

427460960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427460960 is an abundant number, since it is smaller than the sum of its proper divisors (582415936).

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

427460960 is a wasteful number, since it uses less digits than its factorization.

427460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671646 (or 2671638 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 427460960 is about 20675.1290201537. The cubic root of 427460960 is about 753.2956951636.

The spelling of 427460960 in words is "four hundred twenty-seven million, four hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2671631 5343262 10686524 13358155 21373048 26716310 42746096 53432620 85492192 106865240 213730480 427460960