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2106667080 = 233257835979
BaseRepresentation
bin111110110010001…
…0011000001001000
312102211001202221200
41331210103001020
513303301321310
6545013104200
7103130242350
oct17544230110
95384052850
102106667080
11991182181
124a9628060
132775b368b
1415db03b60
15c4e329c0
hex7d913048

2106667080 has 96 divisors (see below), whose sum is σ = 7824772800. Its totient is φ = 481523328.

The previous prime is 2106667061. The next prime is 2106667109. The reversal of 2106667080 is 807666012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 415470 + ... + 420509.

It is an arithmetic number, because the mean of its divisors is an integer number (81508050).

Almost surely, 22106667080 is an apocalyptic number.

2106667080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106667080 is an abundant number, since it is smaller than the sum of its proper divisors (5718105720).

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

2106667080 is a wasteful number, since it uses less digits than its factorization.

2106667080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836003 (or 835996 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2106667080 is about 45898.4431108507. The cubic root of 2106667080 is about 1281.9329275991.

The spelling of 2106667080 in words is "two billion, one hundred six million, six hundred sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 835979 1671958 2507937 3343916 4179895 5015874 5851853 6687832 7523811 8359790 10031748 11703706 12539685 15047622 16719580 17555559 20063496 23407412 25079370 29259265 30095244 33439160 35111118 37619055 46814824 50158740 52666677 58518530 60190488 70222236 75238110 87777795 100317480 105333354 117037060 140444472 150476220 175555590 210666708 234074120 263333385 300952440 351111180 421333416 526666770 702222360 1053333540 2106667080