Search a number
-
+
68588016 = 2437297039
BaseRepresentation
bin1000001011010…
…01000111110000
311210001122001220
410011221013300
5120024304031
610450025040
71461663030
oct405510760
9153048056
1068588016
1135797212
121ab78180
1311295c33
1491758c0
15604c596
hex41691f0

68588016 has 80 divisors (see below), whose sum is σ = 209510400. Its totient is φ = 18918144.

The previous prime is 68588011. The next prime is 68588029. The reversal of 68588016 is 61088586.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68588011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6225 + ... + 13263.

It is an arithmetic number, because the mean of its divisors is an integer number (2618880).

Almost surely, 268588016 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 68588016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755200).

68588016 is an abundant number, since it is smaller than the sum of its proper divisors (140922384).

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

68588016 is a wasteful number, since it uses less digits than its factorization.

68588016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 68588016 is about 8281.7882126990. The cubic root of 68588016 is about 409.3386442551.

The spelling of 68588016 in words is "sixty-eight million, five hundred eighty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 7039 9744 14078 21117 28156 42234 49273 56312 84468 98546 112624 147819 168936 197092 204131 295638 337872 394184 408262 591276 612393 788368 816524 1182552 1224786 1428917 1633048 2365104 2449572 2857834 3266096 4286751 4899144 5715668 8573502 9798288 11431336 17147004 22862672 34294008 68588016