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68100450 = 235211149277
BaseRepresentation
bin1000000111100…
…10000101100010
311202010212020220
410003302011202
5114413203300
610431343510
71454562405
oct403620542
9152125226
1068100450
1135493970
121a981b96
1311155032
149089d3c
155ea2da0
hex40f2162

68100450 has 96 divisors (see below), whose sum is σ = 186148800. Its totient is φ = 16339200.

The previous prime is 68100443. The next prime is 68100457. The reversal of 68100450 is 5400186.

It is an interprime number because it is at equal distance from previous prime (68100443) and next prime (68100457).

It is a self number, because there is not a number n which added to its sum of digits gives 68100450.

It is not an unprimeable number, because it can be changed into a prime (68100457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245712 + ... + 245988.

It is an arithmetic number, because the mean of its divisors is an integer number (1939050).

Almost surely, 268100450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68100450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93074400).

68100450 is an abundant number, since it is smaller than the sum of its proper divisors (118048350).

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

68100450 is a wasteful number, since it uses less digits than its factorization.

68100450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 68100450 is about 8252.2996794833. The cubic root of 68100450 is about 408.3663928067.

The spelling of 68100450 in words is "sixty-eight million, one hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 149 150 165 275 277 298 330 447 550 554 745 825 831 894 1385 1490 1639 1650 1662 2235 2770 3047 3278 3725 4155 4470 4917 6094 6925 7450 8195 8310 9141 9834 11175 13850 15235 16390 18282 20775 22350 24585 30470 40975 41273 41550 45705 49170 76175 81950 82546 91410 122925 123819 152350 206365 228525 245850 247638 412730 454003 457050 619095 908006 1031825 1238190 1362009 2063650 2270015 2724018 3095475 4540030 6190950 6810045 11350075 13620090 22700150 34050225 68100450