Search a number
-
+
68611728 = 24317471789
BaseRepresentation
bin1000001011011…
…10111010010000
311210002211121010
410011232322100
5120031033403
610450330520
71462122123
oct405567220
9153084533
1068611728
1135803009
121ab89a40
13112a3973
1491803ba
156054603
hex416ee90

68611728 has 80 divisors (see below), whose sum is σ = 191773440. Its totient is φ = 21055488.

The previous prime is 68611663. The next prime is 68611729. The reversal of 68611728 is 82711686.

It is not an unprimeable number, because it can be changed into a prime (68611729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37458 + ... + 39246.

It is an arithmetic number, because the mean of its divisors is an integer number (2397168).

Almost surely, 268611728 is an apocalyptic number.

68611728 is a gapful number since it is divisible by the number (68) 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 68611728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95886720).

68611728 is an abundant number, since it is smaller than the sum of its proper divisors (123161712).

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

68611728 is a wasteful number, since it uses less digits than its factorization.

68611728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 68611728 is about 8283.2196638747. The cubic root of 68611728 is about 409.3858105103.

It can be divided in two parts, 686 and 11728, that multiplied together give a palindrome (8045408).

The spelling of 68611728 in words is "sixty-eight million, six hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 376 408 564 752 799 816 1128 1598 1789 2256 2397 3196 3578 4794 5367 6392 7156 9588 10734 12784 14312 19176 21468 28624 30413 38352 42936 60826 84083 85872 91239 121652 168166 182478 243304 252249 336332 364956 486608 504498 672664 729912 1008996 1345328 1429411 1459824 2017992 2858822 4035984 4288233 5717644 8576466 11435288 17152932 22870576 34305864 68611728