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6968500 = 2253711181
BaseRepresentation
bin11010100101010010110100
3111010000222121
4122211102310
53240443000
6405205324
7113142220
oct32452264
914100877
106968500
113a2a5a0
122400844
13159ca96
14cd5780
15929b1a
hex6a54b4

6968500 has 96 divisors (see below), whose sum is σ = 19079424. Its totient is φ = 2160000.

The previous prime is 6968491. The next prime is 6968501. The reversal of 6968500 is 58696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6968501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38410 + ... + 38590.

It is an arithmetic number, because the mean of its divisors is an integer number (198744).

Almost surely, 26968500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6968500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539712).

6968500 is an abundant number, since it is smaller than the sum of its proper divisors (12110924).

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

6968500 is a wasteful number, since it uses less digits than its factorization.

6968500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 6968500 is about 2639.7916584458. The cubic root of 6968500 is about 191.0057471110.

The spelling of 6968500 in words is "six million, nine hundred sixty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 125 140 154 175 181 220 250 275 308 350 362 385 500 550 700 724 770 875 905 1100 1267 1375 1540 1750 1810 1925 1991 2534 2750 3500 3620 3850 3982 4525 5068 5500 6335 7700 7964 9050 9625 9955 12670 13937 18100 19250 19910 22625 25340 27874 31675 38500 39820 45250 49775 55748 63350 69685 90500 99550 126700 139370 158375 199100 248875 278740 316750 348425 497750 633500 696850 995500 1393700 1742125 3484250 6968500