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68262000 = 2435331367
BaseRepresentation
bin1000001000110…
…01100001110000
311202110001212020
410010121201300
5114433341000
610435031440
71456134402
oct404314160
9152401766
1068262000
1135594284
121aa3b580
13111b0721
1490ccb72
155ed5ba0
hex4119870

68262000 has 160 divisors (see below), whose sum is σ = 227794944. Its totient is φ = 17568000.

The previous prime is 68261981. The next prime is 68262037. The reversal of 68262000 is 26286.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 185817 + ... + 186183.

Almost surely, 268262000 is an apocalyptic number.

68262000 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 68262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113897472).

68262000 is an abundant number, since it is smaller than the sum of its proper divisors (159532944).

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

68262000 is a wasteful number, since it uses less digits than its factorization.

68262000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68262000 is about 8262.0820620471. The cubic root of 68262000 is about 408.6890509428.

Adding to 68262000 its reverse (26286), we get a palindrome (68288286).

The spelling of 68262000 in words is "sixty-eight million, two hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 367 372 375 400 465 496 500 600 620 734 744 750 775 930 1000 1101 1200 1240 1468 1488 1500 1550 1835 1860 2000 2202 2325 2480 2936 3000 3100 3670 3720 3875 4404 4650 5505 5872 6000 6200 7340 7440 7750 8808 9175 9300 11010 11377 11625 12400 14680 15500 17616 18350 18600 22020 22754 23250 27525 29360 31000 34131 36700 37200 44040 45508 45875 46500 55050 56885 62000 68262 73400 88080 91016 91750 93000 110100 113770 136524 137625 146800 170655 182032 183500 186000 220200 227540 273048 275250 284425 341310 367000 440400 455080 546096 550500 568850 682620 734000 853275 910160 1101000 1137700 1365240 1422125 1706550 2202000 2275400 2730480 2844250 3413100 4266375 4550800 5688500 6826200 8532750 11377000 13652400 17065500 22754000 34131000 68262000