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2066190720 = 273511192271
BaseRepresentation
bin111101100100111…
…1001000110000000
312022222220100211020
41323021321012000
513212421100340
6541005345440
7102126221436
oct17311710600
95288810736
102066190720
11970346740
12497b68280
1326c0b1079
141585a8d56
15c15d99d0
hex7b279180

2066190720 has 384 divisors, whose sum is σ = 7610734080. Its totient is φ = 472780800.

The previous prime is 2066190713. The next prime is 2066190733. The reversal of 2066190720 is 270916602.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7624185 + ... + 7624455.

It is an arithmetic number, because the mean of its divisors is an integer number (19819620).

Almost surely, 22066190720 is an apocalyptic number.

2066190720 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 2066190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805367040).

2066190720 is an abundant number, since it is smaller than the sum of its proper divisors (5544543360).

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

2066190720 is a wasteful number, since it uses less digits than its factorization.

2066190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2066190720 is about 45455.3706397825. The cubic root of 2066190720 is about 1273.6696558369.

The spelling of 2066190720 in words is "two billion, sixty-six million, one hundred ninety thousand, seven hundred twenty".