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427151360 = 212520857
BaseRepresentation
bin11001011101011…
…101000000000000
31002202202112111202
4121131131000000
51333322320420
6110215200332
713404504146
oct3135350000
91082675452
10427151360
111aa130159
12bb0760a8
136a659aac
1440a31596
1527778575
hex1975d000

427151360 has 52 divisors (see below), whose sum is σ = 1025087268. Its totient is φ = 170852352.

The previous prime is 427151339. The next prime is 427151393. The reversal of 427151360 is 63151724.

It can be written as a sum of positive squares in 2 ways, for example, as 314281984 + 112869376 = 17728^2 + 10624^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10052 + ... + 30908.

Almost surely, 2427151360 is an apocalyptic number.

427151360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512543634).

427151360 is an abundant number, since it is smaller than the sum of its proper divisors (597935908).

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

427151360 is an equidigital number, since it uses as much as digits as its factorization.

427151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20886 (or 20864 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 427151360 is about 20667.6404071679. The cubic root of 427151360 is about 753.1137864070.

The spelling of 427151360 in words is "four hundred twenty-seven million, one hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 20480 20857 41714 83428 104285 166856 208570 333712 417140 667424 834280 1334848 1668560 2669696 3337120 5339392 6674240 10678784 13348480 21357568 26696960 42715136 53393920 85430272 106787840 213575680 427151360