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2106020064 = 25321937709
BaseRepresentation
bin111110110000111…
…0101000011100000
312102202211220102010
41331201311003200
513303120120224
6544551152520
7103121606121
oct17541650340
95382756363
102106020064
11990880055
124a9375740
13277418025
1415d9b6048
15c4d55e29
hex7d8750e0

2106020064 has 24 divisors (see below), whose sum is σ = 5528302920. Its totient is φ = 702006656.

The previous prime is 2106020041. The next prime is 2106020069. The reversal of 2106020064 is 4600206012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2106020064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106020069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10968759 + ... + 10968950.

It is an arithmetic number, because the mean of its divisors is an integer number (230345955).

Almost surely, 22106020064 is an apocalyptic number.

2106020064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2106020064 is an abundant number, since it is smaller than the sum of its proper divisors (3422282856).

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

2106020064 is a wasteful number, since it uses less digits than its factorization.

2106020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21937722 (or 21937714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2106020064 is about 45891.3942259330. The cubic root of 2106020064 is about 1281.8016750864.

Adding to 2106020064 its reverse (4600206012), we get a palindrome (6706226076).

The spelling of 2106020064 in words is "two billion, one hundred six million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 21937709 43875418 65813127 87750836 131626254 175501672 263252508 351003344 526505016 702006688 1053010032 2106020064