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2066127360 = 29351137661
BaseRepresentation
bin111101100100110…
…1001101000000000
312022222210010220120
41323021221220000
513212412033420
6541004140240
7102125535633
oct17311515000
95288703816
102066127360
11970303080
12497b37680
1326c08b28b
1415858dc1a
15c15c5d40
hex7b269a00

2066127360 has 320 divisors, whose sum is σ = 7411561344. Its totient is φ = 486604800.

The previous prime is 2066127353. The next prime is 2066127377. The reversal of 2066127360 is 637216602.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3125430 + ... + 3126090.

Almost surely, 22066127360 is an apocalyptic number.

2066127360 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 2066127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705780672).

2066127360 is an abundant number, since it is smaller than the sum of its proper divisors (5345433984).

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

2066127360 is a wasteful number, since it uses less digits than its factorization.

2066127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2066127360 is about 45454.6736870918. The cubic root of 2066127360 is about 1273.6566366235.

The spelling of 2066127360 in words is "two billion, sixty-six million, one hundred twenty-seven thousand, three hundred sixty".