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1920620016 = 2432717219347
BaseRepresentation
bin111001001111010…
…0101010111110000
311221211222121100200
41302132211113300
512413134320031
6514325315200
765411000160
oct16236452760
94854877320
101920620016
118a615a277
12457265b00
13247ba3263
141431145a0
15b39328e6
hex727a55f0

1920620016 has 360 divisors, whose sum is σ = 6888785280. Its totient is φ = 487876608.

The previous prime is 1920619957. The next prime is 1920620017. The reversal of 1920620016 is 6100260291.

1920620016 is a `hidden beast` number, since 1 + 9 + 20 + 620 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920620017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5534755 + ... + 5535101.

Almost surely, 21920620016 is an apocalyptic number.

1920620016 is a gapful number since it is divisible by the number (16) 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 1920620016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444392640).

1920620016 is an abundant number, since it is smaller than the sum of its proper divisors (4968165264).

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

1920620016 is a wasteful number, since it uses less digits than its factorization.

1920620016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1920620016 is about 43824.8789616127. The cubic root of 1920620016 is about 1243.0267750573.

The spelling of 1920620016 in words is "one billion, nine hundred twenty million, six hundred twenty thousand, sixteen".