[go: up one dir, main page]

Search a number
-
+
6988320 = 2532523211
BaseRepresentation
bin11010101010001000100000
3111011001011200
4122222020200
53242111240
6405441200
7113254053
oct32521040
914131150
106988320
113a43479
122410200
1315a8b01
14cdca9a
15930930
hex6aa220

6988320 has 144 divisors (see below), whose sum is σ = 25002432. Its totient is φ = 1774080.

The previous prime is 6988313. The next prime is 6988321. The reversal of 6988320 is 238896.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (6988321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33015 + ... + 33225.

It is an arithmetic number, because the mean of its divisors is an integer number (173628).

Almost surely, 26988320 is an apocalyptic number.

6988320 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 6988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12501216).

6988320 is an abundant number, since it is smaller than the sum of its proper divisors (18014112).

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

6988320 is a wasteful number, since it uses less digits than its factorization.

6988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6988320 is about 2643.5430770086. The cubic root of 6988320 is about 191.1866636357.

The spelling of 6988320 in words is "six million, nine hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 211 230 240 276 288 345 360 368 414 422 460 480 552 633 690 720 736 828 844 920 1035 1055 1104 1266 1380 1440 1656 1688 1840 1899 2070 2110 2208 2532 2760 3165 3312 3376 3680 3798 4140 4220 4853 5064 5520 6330 6624 6752 7596 8280 8440 9495 9706 10128 11040 12660 14559 15192 16560 16880 18990 19412 20256 24265 25320 29118 30384 33120 33760 37980 38824 43677 48530 50640 58236 60768 72795 75960 77648 87354 97060 101280 116472 145590 151920 155296 174708 194120 218385 232944 291180 303840 349416 388240 436770 465888 582360 698832 776480 873540 1164720 1397664 1747080 2329440 3494160 6988320