Search a number
-
+
68509056 = 2737211331
BaseRepresentation
bin1000001010101…
…01110110000000
311202220121202110
410011111312000
5120014242211
610444215320
71461213600
oct405256600
9152817673
1068509056
1135742960
121ab3a540
1311269005
149154c00
156033ea6
hex4155d80

68509056 has 192 divisors, whose sum is σ = 231629760. Its totient is φ = 17740800.

The previous prime is 68509013. The next prime is 68509057. The reversal of 68509056 is 65090586.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×685090562 = 9386981508022272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68509057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206811 + ... + 207141.

It is an arithmetic number, because the mean of its divisors is an integer number (1206405).

Almost surely, 268509056 is an apocalyptic number.

68509056 is a gapful number since it is divisible by the number (66) 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 68509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115814880).

68509056 is an abundant number, since it is smaller than the sum of its proper divisors (163120704).

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

68509056 is a wasteful number, since it uses less digits than its factorization.

68509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 68509056 is about 8277.0197535103. The cubic root of 68509056 is about 409.1815041199.

The spelling of 68509056 in words is "sixty-eight million, five hundred nine thousand, fifty-six".