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2019941820 = 22335131671723
BaseRepresentation
bin111100001100101…
…1101110110111100
312012202212200021000
41320121131312330
513114101114240
6532234210300
7101025136131
oct17031356674
95182780230
102019941820
11947228206
12484583990
1326263a160
141523aa588
15bc501430
hex7865ddbc

2019941820 has 192 divisors, whose sum is σ = 6812144640. Its totient is φ = 493952256.

The previous prime is 2019941809. The next prime is 2019941839. The reversal of 2019941820 is 281499102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1171479 + ... + 1173201.

It is an arithmetic number, because the mean of its divisors is an integer number (35479920).

Almost surely, 22019941820 is an apocalyptic number.

2019941820 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 2019941820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406072320).

2019941820 is an abundant number, since it is smaller than the sum of its proper divisors (4792202820).

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

2019941820 is a wasteful number, since it uses less digits than its factorization.

2019941820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2019941820 is about 44943.7628598229. The cubic root of 2019941820 is about 1264.0947284865.

The spelling of 2019941820 in words is "two billion, nineteen million, nine hundred forty-one thousand, eight hundred twenty".