Search a number
-
+
1068380280 = 233451131967
BaseRepresentation
bin111111101011100…
…011000001111000
32202110100100020000
4333223203001320
54142001132110
6254003033000
735322040212
oct7753430170
92673310200
101068380280
114a9088a10
1225996b760
1314045c6a6
14a1c6b5b2
1563bdc1c0
hex3fae3078

1068380280 has 320 divisors, whose sum is σ = 4047943680. Its totient is φ = 250387200.

The previous prime is 1068380263. The next prime is 1068380293. The reversal of 1068380280 is 820838601.

It is a super-2 number, since 2×10683802802 = 2282872845385756800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1104357 + ... + 1105323.

It is an arithmetic number, because the mean of its divisors is an integer number (12649824).

Almost surely, 21068380280 is an apocalyptic number.

1068380280 is a gapful number since it is divisible by the number (10) 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 1068380280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023971840).

1068380280 is an abundant number, since it is smaller than the sum of its proper divisors (2979563400).

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

1068380280 is a wasteful number, since it uses less digits than its factorization.

1068380280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1068380280 is about 32686.0869484250. The cubic root of 1068380280 is about 1022.2927663106.

The spelling of 1068380280 in words is "one billion, sixty-eight million, three hundred eighty thousand, two hundred eighty".