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2065664340 = 2232559194507
BaseRepresentation
bin111101100011111…
…1000100101010100
312022221220121202200
41323013320211110
513212302224330
6540550204500
7102121600005
oct17307704524
95287817680
102065664340
11970017213
12497953730
1326bc585bc
141584ad1ac
15c1533a60
hex7b1f8954

2065664340 has 72 divisors (see below), whose sum is σ = 6372082080. Its totient is φ = 541504704.

The previous prime is 2065664329. The next prime is 2065664351. The reversal of 2065664340 is 434665602.

2065664340 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 6 + 643 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2065664329) and next prime (2065664351).

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

It is a junction number, because it is equal to n+sod(n) for n = 2065664295 and 2065664304.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 86634 + ... + 107873.

It is an arithmetic number, because the mean of its divisors is an integer number (88501140).

Almost surely, 22065664340 is an apocalyptic number.

2065664340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2065664340 is an abundant number, since it is smaller than the sum of its proper divisors (4306417740).

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

2065664340 is a wasteful number, since it uses less digits than its factorization.

2065664340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194581 (or 194576 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2065664340 is about 45449.5801960810. The cubic root of 2065664340 is about 1273.5614871882.

The spelling of 2065664340 in words is "two billion, sixty-five million, six hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 194507 389014 583521 778028 972535 1167042 1750563 1945070 2334084 2917605 3501126 3890140 5835210 7002252 8752815 11475913 11670420 17505630 22951826 34427739 35011260 45903652 57379565 68855478 103283217 114759130 137710956 172138695 206566434 229518260 344277390 413132868 516416085 688554780 1032832170 2065664340