Search a number
-
+
68618880 = 2733511192
BaseRepresentation
bin1000001011100…
…00101010000000
311210010012102000
410011300222000
5120031301010
610450424000
71462152021
oct405605200
9153105360
1068618880
1135808420
121ab92000
13112a6cb5
149182c48
1560567c0
hex4170a80

68618880 has 384 divisors, whose sum is σ = 279806400. Its totient is φ = 15759360.

The previous prime is 68618863. The next prime is 68618881. The reversal of 68618880 is 8881686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68618881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3611511 + ... + 3611529.

Almost surely, 268618880 is an apocalyptic number.

68618880 is a gapful number since it is divisible by the number (60) 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 68618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139903200).

68618880 is an abundant number, since it is smaller than the sum of its proper divisors (211187520).

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

68618880 is a wasteful number, since it uses less digits than its factorization.

68618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 68618880 is about 8283.6513688107. The cubic root of 68618880 is about 409.4000346363.

The spelling of 68618880 in words is "sixty-eight million, six hundred eighteen thousand, eight hundred eighty".