Search a number
-
+
6806227440 = 243517298129
BaseRepresentation
bin1100101011010111…
…01100100111110000
3122120100010011210210
412111223230213300
5102414343234230
63043213024120
7330443656455
oct62553544760
918510104723
106806227440
112982a35461
12139b485040
1384611c31c
14487d1982c
1529c7deeb0
hex195aec9f0

6806227440 has 120 divisors (see below), whose sum is σ = 22413677040. Its totient is φ = 1708212224.

The previous prime is 6806227399. The next prime is 6806227453. The reversal of 6806227440 is 447226086.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20296 + ... + 118424.

It is an arithmetic number, because the mean of its divisors is an integer number (186780642).

Almost surely, 26806227440 is an apocalyptic number.

6806227440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6806227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206838520).

6806227440 is an abundant number, since it is smaller than the sum of its proper divisors (15607449600).

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

6806227440 is a wasteful number, since it uses less digits than its factorization.

6806227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98179 (or 98156 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 6806227440 is about 82499.8632726140. The cubic root of 6806227440 is about 1895.1146367484.

The spelling of 6806227440 in words is "six billion, eight hundred six million, two hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 289 340 408 510 578 680 816 867 1020 1156 1360 1445 1734 2040 2312 2890 3468 4080 4335 4624 5780 6936 8670 11560 13872 17340 23120 34680 69360 98129 196258 294387 392516 490645 588774 785032 981290 1177548 1471935 1570064 1668193 1962580 2355096 2943870 3336386 3925160 4710192 5004579 5887740 6672772 7850320 8340965 10009158 11775480 13345544 16681930 20018316 23550960 25022895 26691088 28359281 33363860 40036632 50045790 56718562 66727720 80073264 85077843 100091580 113437124 133455440 141796405 170155686 200183160 226874248 283592810 340311372 400366320 425389215 453748496 567185620 680622744 850778430 1134371240 1361245488 1701556860 2268742480 3403113720 6806227440