Search a number
-
+
68584416 = 2536710663
BaseRepresentation
bin1000001011010…
…00001111100000
311210001110010120
410011220033200
5120024200131
610450000240
71461646365
oct405501740
9153043116
1068584416
113579453a
121ab76080
13112943c4
14917446c
15604b496
hex41683e0

68584416 has 48 divisors (see below), whose sum is σ = 182738304. Its totient is φ = 22518144.

The previous prime is 68584393. The next prime is 68584427. The reversal of 68584416 is 61448586.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×685844162 = 9407644236122112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1101 + ... + 11763.

It is an arithmetic number, because the mean of its divisors is an integer number (3807048).

Almost surely, 268584416 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 68584416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91369152).

68584416 is an abundant number, since it is smaller than the sum of its proper divisors (114153888).

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

68584416 is a wasteful number, since it uses less digits than its factorization.

68584416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10743 (or 10735 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 68584416 is about 8281.5708654820. The cubic root of 68584416 is about 409.3314824359.

The spelling of 68584416 in words is "sixty-eight million, five hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 10663 21326 31989 42652 63978 85304 127956 170608 255912 341216 511824 714421 1023648 1428842 2143263 2857684 4286526 5715368 8573052 11430736 17146104 22861472 34292208 68584416