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427431560 = 23541260629
BaseRepresentation
bin11001011110100…
…001011010001000
31002210021202212112
4121132201122020
51333410302220
6110225201452
713410052103
oct3136413210
91083252775
10427431560
111aa301726
12bb190288
136a7274aa
1440aa573a
15277d15c5
hex197a1688

427431560 has 32 divisors (see below), whose sum is σ = 985181400. Its totient is φ = 166801920.

The previous prime is 427431559. The next prime is 427431569. The reversal of 427431560 is 65134724.

It can be written as a sum of positive squares in 4 ways, for example, as 363207364 + 64224196 = 19058^2 + 8014^2 .

It is not an unprimeable number, because it can be changed into a prime (427431569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128675 + ... + 131954.

Almost surely, 2427431560 is an apocalyptic number.

427431560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427431560 is an abundant number, since it is smaller than the sum of its proper divisors (557749840).

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

427431560 is a wasteful number, since it uses less digits than its factorization.

427431560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260681 (or 260677 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 427431560 is about 20674.4180087373. The cubic root of 427431560 is about 753.2784246576.

The spelling of 427431560 in words is "four hundred twenty-seven million, four hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 260629 521258 1042516 1303145 2085032 2606290 5212580 10425160 10685789 21371578 42743156 53428945 85486312 106857890 213715780 427431560