Search a number
-
+
68221440 = 29345747
BaseRepresentation
bin1000001000011…
…11101000000000
311202101000020000
410010033220000
5114431041230
610434120000
71455605220
oct404175000
9152330200
1068221440
1135566861
121aa20000
1311198121
1490bc080
155ec8b60
hex410fa00

68221440 has 400 divisors, whose sum is σ = 285196032. Its totient is φ = 15261696.

The previous prime is 68221429. The next prime is 68221469. The reversal of 68221440 is 4412286.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451497 + ... + 1451543.

Almost surely, 268221440 is an apocalyptic number.

68221440 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 68221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142598016).

68221440 is an abundant number, since it is smaller than the sum of its proper divisors (216974592).

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

68221440 is an equidigital number, since it uses as much as digits as its factorization.

68221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 68221440 is about 8259.6271102272. The cubic root of 68221440 is about 408.6080897827.

It can be divided in two parts, 682 and 21440, that added together give a palindrome (22122).

The spelling of 68221440 in words is "sixty-eight million, two hundred twenty-one thousand, four hundred forty".