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68163300 = 223252531429
BaseRepresentation
bin1000001000000…
…01011011100100
311202021001110200
410010001123210
5114422211200
610432550500
71455243552
oct404013344
9152231420
1068163300
1135527107
121a9b2430
131117781a
1490a4bd2
155eb6800
hex41016e4

68163300 has 108 divisors (see below), whose sum is σ = 217837620. Its totient is φ = 17821440.

The previous prime is 68163281. The next prime is 68163307. The reversal of 68163300 is 336186.

It can be written as a sum of positive squares in 6 ways, for example, as 5531904 + 62631396 = 2352^2 + 7914^2 .

It is not an unprimeable number, because it can be changed into a prime (68163307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46986 + ... + 48414.

It is an arithmetic number, because the mean of its divisors is an integer number (2017015).

Almost surely, 268163300 is an apocalyptic number.

68163300 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 68163300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108918810).

68163300 is an abundant number, since it is smaller than the sum of its proper divisors (149674320).

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

68163300 is a wasteful number, since it uses less digits than its factorization.

68163300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 68163300 is about 8256.1068307042. The cubic root of 68163300 is about 408.4919814833.

Adding to 68163300 its reverse (336186), we get a palindrome (68499486).

The spelling of 68163300 in words is "sixty-eight million, one hundred sixty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 150 159 180 212 225 265 300 318 450 477 530 636 795 900 954 1060 1325 1429 1590 1908 2385 2650 2858 3180 3975 4287 4770 5300 5716 7145 7950 8574 9540 11925 12861 14290 15900 17148 21435 23850 25722 28580 35725 42870 47700 51444 64305 71450 75737 85740 107175 128610 142900 151474 214350 227211 257220 302948 321525 378685 428700 454422 643050 681633 757370 908844 1136055 1286100 1363266 1514740 1893425 2272110 2726532 3408165 3786850 4544220 5680275 6816330 7573700 11360550 13632660 17040825 22721100 34081650 68163300