Search a number
-
+
2066688840 = 2335137125711
BaseRepresentation
bin111101100101111…
…0010101101001000
312100000211200010010
41323023302231020
513213033020330
6541024151520
7102133364616
oct17313625510
95300750103
102066688840
11970656a07
124981685a0
1326c226a08
141586986b6
15c16873b0
hex7b2f2b48

2066688840 has 64 divisors (see below), whose sum is σ = 6245372160. Its totient is φ = 547089920.

The previous prime is 2066688823. The next prime is 2066688853. The reversal of 2066688840 is 488866602.

It is a happy number.

It is a super-2 number, since 2×20666888402 = 8542405522761091200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2066688840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46416 + ... + 79295.

It is an arithmetic number, because the mean of its divisors is an integer number (97583940).

Almost surely, 22066688840 is an apocalyptic number.

2066688840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066688840 is an abundant number, since it is smaller than the sum of its proper divisors (4178683320).

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

2066688840 is a wasteful number, since it uses less digits than its factorization.

2066688840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125862 (or 125858 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2066688840 is about 45460.8495301177. The cubic root of 2066688840 is about 1273.7720002698.

The spelling of 2066688840 in words is "two billion, sixty-six million, six hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 125711 251422 377133 502844 628555 754266 1005688 1257110 1508532 1885665 2514220 3017064 3771330 5028440 7542660 15085320 17222407 34444814 51667221 68889628 86112035 103334442 137779256 172224070 206668884 258336105 344448140 413337768 516672210 688896280 1033344420 2066688840