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10318000 = 245371167
BaseRepresentation
bin100111010111…
…000010110000
3201102012122011
4213113002300
510120134000
61005052304
7153462430
oct47270260
921365564
1010318000
115908080
123557094
1321a3534
1415282c0
15d8c2ba
hex9d70b0

10318000 has 160 divisors (see below), whose sum is σ = 31569408. Its totient is φ = 3168000.

The previous prime is 10317991. The next prime is 10318001. The reversal of 10318000 is 81301.

It is a super-2 number, since 2×103180002 = 212922248000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10318001) 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, 153967 + ... + 154033.

Almost surely, 210318000 is an apocalyptic number.

10318000 is a gapful number since it is divisible by the number (10) 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 10318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15784704).

10318000 is an abundant number, since it is smaller than the sum of its proper divisors (21251408).

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

10318000 is a wasteful number, since it uses less digits than its factorization.

10318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10318000 is about 3212.1643793555. The cubic root of 10318000 is about 217.7033813474.

Adding to 10318000 its reverse (81301), we get a palindrome (10399301).

The spelling of 10318000 in words is "ten million, three hundred eighteen thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 67 70 77 80 88 100 110 112 125 134 140 154 175 176 200 220 250 268 275 280 308 335 350 385 400 440 469 500 536 550 560 616 670 700 737 770 875 880 938 1000 1072 1100 1232 1340 1375 1400 1474 1540 1675 1750 1876 1925 2000 2200 2345 2680 2750 2800 2948 3080 3350 3500 3685 3752 3850 4400 4690 5159 5360 5500 5896 6160 6700 7000 7370 7504 7700 8375 9380 9625 10318 11000 11725 11792 13400 14000 14740 15400 16750 18425 18760 19250 20636 22000 23450 25795 26800 29480 30800 33500 36850 37520 38500 41272 46900 51590 58625 58960 67000 73700 77000 82544 92125 93800 103180 117250 128975 134000 147400 154000 184250 187600 206360 234500 257950 294800 368500 412720 469000 515900 644875 737000 938000 1031800 1289750 1474000 2063600 2579500 5159000 10318000