Search a number
-
+
110049840 = 243751737
BaseRepresentation
bin1101000111100…
…11101000110000
321200002010000000
412203303220300
5211133043330
614530430000
72504260005
oct643635060
9250063000
10110049840
115713608a
1230a32300
1319a51c64
14108898ac
1599dc560
hex68f3a30

110049840 has 320 divisors, whose sum is σ = 417294720. Its totient is φ = 26873856.

The previous prime is 110049839. The next prime is 110049853. The reversal of 110049840 is 48940011.

It is a super-2 number, since 2×1100498402 = 24221934568051200, which contains 22 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2974302 + ... + 2974338.

It is an arithmetic number, because the mean of its divisors is an integer number (1304046).

Almost surely, 2110049840 is an apocalyptic number.

110049840 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 110049840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208647360).

110049840 is an abundant number, since it is smaller than the sum of its proper divisors (307244880).

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

110049840 is an equidigital number, since it uses as much as digits as its factorization.

110049840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 110049840 is about 10490.4642413956. The cubic root of 110049840 is about 479.2143397390.

Adding to 110049840 its reverse (48940011), we get a palindrome (158989851).

It can be divided in two parts, 110049 and 840, that added together give a square (110889 = 3332).

The spelling of 110049840 in words is "one hundred ten million, forty-nine thousand, eight hundred forty".