Search a number
-
+
68137520 = 2451127039
BaseRepresentation
bin1000000111110…
…11001000110000
311202012202002212
410003323020300
5114420400040
610432231252
71455105443
oct403731060
9152182085
1068137520
1135509800
121a99b528
1311168b79
14909965a
155eadd65
hex40fb230

68137520 has 60 divisors (see below), whose sum is σ = 174155520. Its totient is φ = 24773760.

The previous prime is 68137483. The next prime is 68137541. The reversal of 68137520 is 2573186.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 6161 + ... + 13199.

It is an arithmetic number, because the mean of its divisors is an integer number (2902592).

Almost surely, 268137520 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 68137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

68137520 is an abundant number, since it is smaller than the sum of its proper divisors (106018000).

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

68137520 is a wasteful number, since it uses less digits than its factorization.

68137520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 68137520 is about 8254.5454144974. The cubic root of 68137520 is about 408.4404764887.

The spelling of 68137520 in words is "sixty-eight million, one hundred thirty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 7039 9680 14078 28156 35195 56312 70390 77429 112624 140780 154858 281560 309716 387145 563120 619432 774290 851719 1238864 1548580 1703438 3097160 3406876 4258595 6194320 6813752 8517190 13627504 17034380 34068760 68137520