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68443100 = 225211431447
BaseRepresentation
bin1000001010001…
…01101111011100
311202210021021122
410011011233130
5120010134400
610442550112
71460520365
oct405055734
9152707248
1068443100
11356a8350
121ab08338
1311244c9b
149138b6c
15601e685
hex4145bdc

68443100 has 72 divisors (see below), whose sum is σ = 165906048. Its totient is φ = 24292800.

The previous prime is 68443097. The next prime is 68443189. The reversal of 68443100 is 134486.

It is a super-2 number, since 2×684431002 = 9368915875220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68443100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46577 + ... + 48023.

Almost surely, 268443100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82953024).

68443100 is an abundant number, since it is smaller than the sum of its proper divisors (97462948).

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

68443100 is a wasteful number, since it uses less digits than its factorization.

68443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 68443100 is about 8273.0345097793. The cubic root of 68443100 is about 409.0501509712.

Adding to 68443100 its reverse (134486), we get a palindrome (68577586).

The spelling of 68443100 in words is "sixty-eight million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1447 1892 2150 2365 2894 4300 4730 5788 7235 9460 11825 14470 15917 23650 28940 31834 36175 47300 62221 63668 72350 79585 124442 144700 159170 248884 311105 318340 397925 622210 684431 795850 1244420 1368862 1555525 1591700 2737724 3111050 3422155 6222100 6844310 13688620 17110775 34221550 68443100