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110135540 = 2255506777
BaseRepresentation
bin1101001000010…
…00100011110100
321200020110120002
412210020203310
5211143314130
614532330432
72505064604
oct644104364
9250213502
10110135540
1157194509
1230a73a18
1319a81c78
14108acc04
159a07b45
hex69088f4

110135540 has 12 divisors (see below), whose sum is σ = 231284676. Its totient is φ = 44054208.

The previous prime is 110135507. The next prime is 110135549. The reversal of 110135540 is 45531011.

It can be written as a sum of positive squares in 2 ways, for example, as 32307856 + 77827684 = 5684^2 + 8822^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5506777 = 110135540 / (1 + 1 + 0 + 1 + 3 + 5 + 5 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110135549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2753369 + ... + 2753408.

It is an arithmetic number, because the mean of its divisors is an integer number (19273723).

Almost surely, 2110135540 is an apocalyptic number.

110135540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110135540 is an abundant number, since it is smaller than the sum of its proper divisors (121149136).

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

110135540 is a wasteful number, since it uses less digits than its factorization.

110135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506786 (or 5506784 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 110135540 is about 10494.5481084228. The cubic root of 110135540 is about 479.3387016128.

Adding to 110135540 its reverse (45531011), we get a palindrome (155666551).

The spelling of 110135540 in words is "one hundred ten million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 5506777 11013554 22027108 27533885 55067770 110135540