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427431080 = 23523795881
BaseRepresentation
bin11001011110100…
…001010010101000
31002210021202012202
4121132201102220
51333410243310
6110225155332
713410050516
oct3136412250
91083252182
10427431080
111aa30132a
12bb18bb48
136a7271cb
1440aa54b6
15277d13a5
hex197a14a8

427431080 has 64 divisors (see below), whose sum is σ = 1016409600. Its totient is φ = 161441280.

The previous prime is 427431079. The next prime is 427431083. The reversal of 427431080 is 80134724.

It is not an unprimeable number, because it can be changed into a prime (427431083) 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 15 ways as a sum of consecutive naturals, for example, 69740 + ... + 75620.

It is an arithmetic number, because the mean of its divisors is an integer number (15881400).

Almost surely, 2427431080 is an apocalyptic number.

427431080 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 427431080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508204800).

427431080 is an abundant number, since it is smaller than the sum of its proper divisors (588978520).

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

427431080 is a wasteful number, since it uses less digits than its factorization.

427431080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 427431080 is about 20674.4064001847. The cubic root of 427431080 is about 753.2781426836.

The spelling of 427431080 in words is "four hundred twenty-seven million, four hundred thirty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 316 395 460 632 790 920 1580 1817 3160 3634 5881 7268 9085 11762 14536 18170 23524 29405 36340 47048 58810 72680 117620 135263 235240 270526 464599 541052 676315 929198 1082104 1352630 1858396 2322995 2705260 3716792 4645990 5410520 9291980 10685777 18583960 21371554 42743108 53428885 85486216 106857770 213715540 427431080