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2066391000 = 23345397263
BaseRepresentation
bin111101100101010…
…1001111111011000
312100000021112120000
41323022221333120
513212444003000
6541013533000
7102131014362
oct17312517730
95300245500
102066391000
11970473163
12498044160
1326c15128b
1415861bd32
15c1629000
hex7b2a9fd8

2066391000 has 320 divisors, whose sum is σ = 7325398080. Its totient is φ = 543283200.

The previous prime is 2066390981. The next prime is 2066391011. The reversal of 2066391000 is 1936602.

It is a happy number.

2066391000 is a `hidden beast` number, since 20 + 6 + 639 + 1 + 0 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7856869 + ... + 7857131.

It is an arithmetic number, because the mean of its divisors is an integer number (22891869).

Almost surely, 22066391000 is an apocalyptic number.

2066391000 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 2066391000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662699040).

2066391000 is an abundant number, since it is smaller than the sum of its proper divisors (5259007080).

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

2066391000 is a wasteful number, since it uses less digits than its factorization.

2066391000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2066391000 is about 45457.5736264047. The cubic root of 2066391000 is about 1273.7108076233.

The spelling of 2066391000 in words is "two billion, sixty-six million, three hundred ninety-one thousand".