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68099400 = 23335212611
BaseRepresentation
bin1000000111100…
…01110101001000
311202010210211000
410003301311020
5114413140100
610431335000
71454556345
oct403616510
9152123730
1068099400
11354930a6
121a981460
1311154705
1490897cc
155ea2900
hex40f1d48

68099400 has 96 divisors (see below), whose sum is σ = 234583200. Its totient is φ = 18158400.

The previous prime is 68099387. The next prime is 68099417. The reversal of 68099400 is 499086.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906 + ... + 11705.

It is an arithmetic number, because the mean of its divisors is an integer number (2443575).

Almost surely, 268099400 is an apocalyptic number.

68099400 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 68099400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117291600).

68099400 is an abundant number, since it is smaller than the sum of its proper divisors (166483800).

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

68099400 is a wasteful number, since it uses less digits than its factorization.

68099400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12636 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68099400 is about 8252.2360606081. The cubic root of 68099400 is about 408.3642940104.

The spelling of 68099400 in words is "sixty-eight million, ninety-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 12611 25222 37833 50444 63055 75666 100888 113499 126110 151332 189165 226998 252220 302664 315275 340497 378330 453996 504440 567495 630550 680994 756660 907992 945825 1134990 1261100 1361988 1513320 1702485 1891650 2269980 2522200 2723976 2837475 3404970 3783300 4539960 5674950 6809940 7566600 8512425 11349900 13619880 17024850 22699800 34049700 68099400