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1420385280 = 210351931157
BaseRepresentation
bin101010010101001…
…0101110000000000
310122222201001022020
41110222111300000
510402104312110
6352535441440
750125034646
oct12452256000
93588631266
101420385280
11669852536
12337826280
13198368382
14d68db196
1584a6ed70
hex54a95c00

1420385280 has 352 divisors, whose sum is σ = 4967823360. Its totient is φ = 345047040.

The previous prime is 1420385257. The next prime is 1420385297. The reversal of 1420385280 is 825830241.

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 31 ways as a sum of consecutive naturals, for example, 9046962 + ... + 9047118.

Almost surely, 21420385280 is an apocalyptic number.

1420385280 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 1420385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483911680).

1420385280 is an abundant number, since it is smaller than the sum of its proper divisors (3547438080).

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

1420385280 is a wasteful number, since it uses less digits than its factorization.

1420385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1420385280 is about 37687.9991509234. Note that the first 3 decimals coincide. The cubic root of 1420385280 is about 1124.0925106331.

The spelling of 1420385280 in words is "one billion, four hundred twenty million, three hundred eighty-five thousand, two hundred eighty".