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68506200 = 23325275437
BaseRepresentation
bin1000001010101…
…01001001011000
311202220110211200
410011111021120
5120014144300
610444154200
71461202350
oct405251130
9152813750
1068506200
11357407a4
121ab38960
1311267919
149153b60
156033200
hex4155258

68506200 has 144 divisors (see below), whose sum is σ = 262981680. Its totient is φ = 15655680.

The previous prime is 68506189. The next prime is 68506211. The reversal of 68506200 is 260586.

It is an interprime number because it is at equal distance from previous prime (68506189) and next prime (68506211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9882 + ... + 15318.

Almost surely, 268506200 is an apocalyptic number.

68506200 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 68506200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131490840).

68506200 is an abundant number, since it is smaller than the sum of its proper divisors (194475480).

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

68506200 is a wasteful number, since it uses less digits than its factorization.

68506200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68506200 is about 8276.8472258463. The cubic root of 68506200 is about 409.1758180657.

Adding to 68506200 its reverse (260586), we get a palindrome (68766786).

The spelling of 68506200 in words is "sixty-eight million, five hundred six thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 5437 6300 10874 12600 16311 21748 27185 32622 38059 43496 48933 54370 65244 76118 81555 97866 108740 114177 130488 135925 152236 163110 190295 195732 217480 228354 244665 271850 304472 326220 342531 380590 391464 407775 456708 489330 543700 570885 652440 685062 761180 815550 913416 951475 978660 1087400 1141770 1223325 1370124 1522360 1631100 1712655 1902950 1957320 2283540 2446650 2740248 2854425 3262200 3425310 3805900 4567080 4893300 5708850 6850620 7611800 8563275 9786600 11417700 13701240 17126550 22835400 34253100 68506200