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1420231680 = 210325721737
BaseRepresentation
bin101010010100111…
…0000010000000000
310122222102020121100
41110221300100000
510402034403210
6352532254400
750123525100
oct12451602000
93588366540
101420231680
1166975809a
12337771400
1319831349a
14d689b200
1584a3e5c0
hex54a70400

1420231680 has 792 divisors, whose sum is σ = 6225058008. Its totient is φ = 297271296.

The previous prime is 1420231679. The next prime is 1420231693. The reversal of 1420231680 is 861320241.

1420231680 is a `hidden beast` number, since 1 + 420 + 231 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 834978816 = 24192^2 + 28896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38384622 + ... + 38384658.

Almost surely, 21420231680 is an apocalyptic number.

1420231680 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 1420231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112529004).

1420231680 is an abundant number, since it is smaller than the sum of its proper divisors (4804826328).

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

1420231680 is a wasteful number, since it uses less digits than its factorization.

1420231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1420231680 is about 37685.9613118732. The cubic root of 1420231680 is about 1124.0519895069.

The spelling of 1420231680 in words is "one billion, four hundred twenty million, two hundred thirty-one thousand, six hundred eighty".