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2054842020 = 2235571117219
BaseRepresentation
bin111101001111010…
…0110011010100100
312022012112210100000
41322132212122210
513202014421040
6535522221300
7101630604030
oct17236463244
95265483300
102054842020
119649a5250
124941b4830
1326993966a
14156c931c0
15c05e7130
hex7a7a66a4

2054842020 has 864 divisors, whose sum is σ = 9011358720. Its totient is φ = 380712960.

The previous prime is 2054842007. The next prime is 2054842073. The reversal of 2054842020 is 202484502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 108149571 + ... + 108149589.

Almost surely, 22054842020 is an apocalyptic number.

2054842020 is a gapful number since it is divisible by the number (20) 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 2054842020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505679360).

2054842020 is an abundant number, since it is smaller than the sum of its proper divisors (6956516700).

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

2054842020 is a wasteful number, since it uses less digits than its factorization.

2054842020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2054842020 is about 45330.3653195074. The cubic root of 2054842020 is about 1271.3334662090. Note that the first 3 decimals are identical.

The spelling of 2054842020 in words is "two billion, fifty-four million, eight hundred forty-two thousand, twenty".