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2106066000 = 24353351011
BaseRepresentation
bin111110110001000…
…0000010001010000
312102202221020102110
41331202000101100
513303123103000
6544552145320
7103122160053
oct17542002120
95382836373
102106066000
11990901615
124a9398240
13277432bcc
1415d9c8a9a
15c4d64850
hex7d880450

2106066000 has 80 divisors (see below), whose sum is σ = 6789976128. Its totient is φ = 561616000.

The previous prime is 2106065999. The next prime is 2106066023. The reversal of 2106066000 is 6606012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169506 + ... + 181505.

Almost surely, 22106066000 is an apocalyptic number.

2106066000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106066000 is an abundant number, since it is smaller than the sum of its proper divisors (4683910128).

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

2106066000 is a wasteful number, since it uses less digits than its factorization.

2106066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351037 (or 351021 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2106066000 is about 45891.8947091967. The cubic root of 2106066000 is about 1281.8109944679.

The spelling of 2106066000 in words is "two billion, one hundred six million, sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 351011 702022 1053033 1404044 1755055 2106066 2808088 3510110 4212132 5265165 5616176 7020220 8424264 8775275 10530330 14040440 16848528 17550550 21060660 26325825 28080880 35101100 42121320 43876375 52651650 70202200 84242640 87752750 105303300 131629125 140404400 175505500 210606600 263258250 351011000 421213200 526516500 702022000 1053033000 2106066000