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68545200 = 243522392
BaseRepresentation
bin1000001010111…
…10101010110000
311202222110100010
410011132222300
5120021421300
610445054520
71461424143
oct405365260
9152873303
1068545200
1135768029
121ab57440
131127c5b9
14916405a
15603ea50
hex415eab0

68545200 has 90 divisors (see below), whose sum is σ = 220495684. Its totient is φ = 18202240.

The previous prime is 68545193. The next prime is 68545229. The reversal of 68545200 is 254586.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 286681 + ... + 286919.

Almost surely, 268545200 is an apocalyptic number.

68545200 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 68545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110247842).

68545200 is an abundant number, since it is smaller than the sum of its proper divisors (151950484).

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

68545200 is a wasteful number, since it uses less digits than its factorization.

68545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 68545200 is about 8279.2028601792. The cubic root of 68545200 is about 409.2534501128.

Adding to 68545200 its reverse (254586), we get a palindrome (68799786).

The spelling of 68545200 in words is "sixty-eight million, five hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 239 240 300 400 478 600 717 956 1195 1200 1434 1912 2390 2868 3585 3824 4780 5736 5975 7170 9560 11472 11950 14340 17925 19120 23900 28680 35850 47800 57121 57360 71700 95600 114242 143400 171363 228484 285605 286800 342726 456968 571210 685452 856815 913936 1142420 1370904 1428025 1713630 2284840 2741808 2856050 3427260 4284075 4569680 5712100 6854520 8568150 11424200 13709040 17136300 22848400 34272600 68545200