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1427435280 = 243253795231
BaseRepresentation
bin101010100010100…
…1110111100010000
310200110222020002100
41111011032330100
510410410412110
6353350520400
750241666615
oct12505167420
93613866070
101427435280
11672828287
1233a066100
1319996627b
14d781450c
15854b3bc0
hex5514ef10

1427435280 has 120 divisors (see below), whose sum is σ = 4807370880. Its totient is φ = 379572480.

The previous prime is 1427435263. The next prime is 1427435293. The reversal of 1427435280 is 825347241.

It is a happy number.

1427435280 is a `hidden beast` number, since 142 + 7 + 435 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270265 + ... + 275495.

It is an arithmetic number, because the mean of its divisors is an integer number (40061424).

Almost surely, 21427435280 is an apocalyptic number.

1427435280 is a gapful number since it is divisible by the number (10) 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 1427435280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403685440).

1427435280 is an abundant number, since it is smaller than the sum of its proper divisors (3379935600).

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

1427435280 is a wasteful number, since it uses less digits than its factorization.

1427435280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1427435280 is about 37781.4144785502. The cubic root of 1427435280 is about 1125.9492314426.

The spelling of 1427435280 in words is "one billion, four hundred twenty-seven million, four hundred thirty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 379 720 758 1137 1516 1895 2274 3032 3411 3790 4548 5231 5685 6064 6822 7580 9096 10462 11370 13644 15160 15693 17055 18192 20924 22740 26155 27288 30320 31386 34110 41848 45480 47079 52310 54576 62772 68220 78465 83696 90960 94158 104620 125544 136440 156930 188316 209240 235395 251088 272880 313860 376632 418480 470790 627720 753264 941580 1255440 1883160 1982549 3766320 3965098 5947647 7930196 9912745 11895294 15860392 17842941 19825490 23790588 29738235 31720784 35685882 39650980 47581176 59476470 71371764 79301960 89214705 95162352 118952940 142743528 158603920 178429410 237905880 285487056 356858820 475811760 713717640 1427435280