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6998040 = 2332572777
BaseRepresentation
bin11010101100100000011000
3111011112111200
4122230200120
53242414130
6405554200
7113324310
oct32544030
914145450
106998040
113a4a805
122415960
1315b036a
14d02440
15933760
hex6ac818

6998040 has 96 divisors (see below), whose sum is σ = 26002080. Its totient is φ = 1598976.

The previous prime is 6998039. The next prime is 6998051. The reversal of 6998040 is 408996.

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 = 6997986 and 6998004.

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, 1132 + ... + 3908.

It is an arithmetic number, because the mean of its divisors is an integer number (270855).

Almost surely, 26998040 is an apocalyptic number.

6998040 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 6998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13001040).

6998040 is an abundant number, since it is smaller than the sum of its proper divisors (19004040).

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

6998040 is a wasteful number, since it uses less digits than its factorization.

6998040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6998040 is about 2645.3808799490. The cubic root of 6998040 is about 191.2752625862.

The spelling of 6998040 in words is "six million, nine hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 2777 5554 8331 11108 13885 16662 19439 22216 24993 27770 33324 38878 41655 49986 55540 58317 66648 77756 83310 97195 99972 111080 116634 124965 155512 166620 174951 194390 199944 233268 249930 291585 333240 349902 388780 466536 499860 583170 699804 777560 874755 999720 1166340 1399608 1749510 2332680 3499020 6998040