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10314000 = 243353191
BaseRepresentation
bin100111010110…
…000100010000
3201102000011000
4213112010100
510120022000
61005022000
7153444654
oct47260420
921360130
1010314000
115905074
123554900
1321a1778
141526a64
15d8b000
hex9d6110

10314000 has 160 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 2736000.

The previous prime is 10313999. The next prime is 10314011. The reversal of 10314000 is 41301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53905 + ... + 54095.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 210314000 is an apocalyptic number.

10314000 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 10314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

10314000 is an abundant number, since it is smaller than the sum of its proper divisors (26826480).

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

10314000 is a wasteful number, since it uses less digits than its factorization.

10314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10314000 is about 3211.5416858574. The cubic root of 10314000 is about 217.6752452073.

Adding to 10314000 its reverse (41301), we get a palindrome (10355301).

The spelling of 10314000 in words is "ten million, three hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 191 200 216 225 240 250 270 300 360 375 382 400 432 450 500 540 573 600 675 720 750 764 900 955 1000 1080 1125 1146 1200 1350 1500 1528 1719 1800 1910 2000 2160 2250 2292 2700 2865 3000 3056 3375 3438 3600 3820 4500 4584 4775 5157 5400 5730 6000 6750 6876 7640 8595 9000 9168 9550 10314 10800 11460 13500 13752 14325 15280 17190 18000 19100 20628 22920 23875 25785 27000 27504 28650 34380 38200 41256 42975 45840 47750 51570 54000 57300 68760 71625 76400 82512 85950 95500 103140 114600 128925 137520 143250 171900 191000 206280 214875 229200 257850 286500 343800 382000 412560 429750 515700 573000 644625 687600 859500 1031400 1146000 1289250 1719000 2062800 2578500 3438000 5157000 10314000