Search a number
-
+
6800074140 = 2235641176809
BaseRepresentation
bin1100101010101000…
…01110010110011100
3122112220112120001210
412111110032112130
5102411304333030
63042433104420
7330340451016
oct62524162634
918486476053
106800074140
11297a512392
1213993b8110
13844a76612
144871971b6
1529bec6bb0
hex19550e59c

6800074140 has 48 divisors (see below), whose sum is σ = 19070019360. Its totient is φ = 1810513920.

The previous prime is 6800074133. The next prime is 6800074189. The reversal of 6800074140 is 414700086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6800074098 and 6800074107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49945 + ... + 126864.

It is an arithmetic number, because the mean of its divisors is an integer number (397292070).

Almost surely, 26800074140 is an apocalyptic number.

6800074140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6800074140 is an abundant number, since it is smaller than the sum of its proper divisors (12269945220).

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

6800074140 is a wasteful number, since it uses less digits than its factorization.

6800074140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177462 (or 177460 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 6800074140 is about 82462.5620509089. The cubic root of 6800074140 is about 1894.5433596867.

The spelling of 6800074140 in words is "six billion, eight hundred million, seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 641 1282 1923 2564 3205 3846 6410 7692 9615 12820 19230 38460 176809 353618 530427 707236 884045 1060854 1768090 2121708 2652135 3536180 5304270 10608540 113334569 226669138 340003707 453338276 566672845 680007414 1133345690 1360014828 1700018535 2266691380 3400037070 6800074140