Search a number
-
+
68549040 = 24325722967
BaseRepresentation
bin1000001010111…
…11100110110000
311202222122121100
410011133212300
5120022032130
610445124400
71461441300
oct405374660
9152878540
1068549040
113576a9aa
121ab59700
1311281281
149165600
156040c60
hex415f9b0

68549040 has 360 divisors, whose sum is σ = 281165040. Its totient is φ = 14902272.

The previous prime is 68549023. The next prime is 68549051. The reversal of 68549040 is 4094586.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68548986 and 68549004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1023087 + ... + 1023153.

It is an arithmetic number, because the mean of its divisors is an integer number (781014).

Almost surely, 268549040 is an apocalyptic number.

68549040 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 68549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140582520).

68549040 is an abundant number, since it is smaller than the sum of its proper divisors (212616000).

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

68549040 is a wasteful number, since it uses less digits than its factorization.

68549040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 68549040 is about 8279.4347633157. The cubic root of 68549040 is about 409.2610922910.

The spelling of 68549040 in words is "sixty-eight million, five hundred forty-nine thousand, forty".