Search a number
-
+
68156000 = 2553111549
BaseRepresentation
bin1000000111111…
…11101001100000
311202020200110022
410003333221200
5114421443000
610432453012
71455213353
oct403775140
9152220408
1068156000
1135521680
121a9aa168
13111743c3
1490a229a
155eb4585
hex40ffa60

68156000 has 96 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 24768000.

The previous prime is 68155991. The next prime is 68156041. The reversal of 68156000 is 65186.

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 15 ways as a sum of consecutive naturals, for example, 43226 + ... + 44774.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 268156000 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 68156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

68156000 is an abundant number, since it is smaller than the sum of its proper divisors (114644800).

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

68156000 is a wasteful number, since it uses less digits than its factorization.

68156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 68156000 is about 8255.6647218743. The cubic root of 68156000 is about 408.4773983771.

The spelling of 68156000 in words is "sixty-eight million, one hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1549 1760 2000 2200 2750 3098 4000 4400 5500 6196 7745 8800 11000 12392 15490 17039 22000 24784 30980 34078 38725 44000 49568 61960 68156 77450 85195 123920 136312 154900 170390 193625 247840 272624 309800 340780 387250 425975 545248 619600 681560 774500 851950 1239200 1363120 1549000 1703900 2129875 2726240 3098000 3407800 4259750 6196000 6815600 8519500 13631200 17039000 34078000 68156000