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110020680 = 233657311
BaseRepresentation
bin1101000111011…
…00100001001000
321200000122000000
412203230201020
5211131130210
614530043000
72504106000
oct643544110
9250018000
10110020680
1157116190
1230a19460
1319a418c3
141087d000
1599d3ac0
hex68ec848

110020680 has 448 divisors, whose sum is σ = 472176000. Its totient is φ = 22861440.

The previous prime is 110020679. The next prime is 110020681. The reversal of 110020680 is 86020011.

It is an interprime number because it is at equal distance from previous prime (110020679) and next prime (110020681).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110020681) 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 111 ways as a sum of consecutive naturals, for example, 10001875 + ... + 10001885.

Almost surely, 2110020680 is an apocalyptic number.

110020680 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 110020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236088000).

110020680 is an abundant number, since it is smaller than the sum of its proper divisors (362155320).

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

110020680 is an equidigital number, since it uses as much as digits as its factorization.

110020680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 110020680 is about 10489.0743156868. The cubic root of 110020680 is about 479.1720100559.

Adding to 110020680 its reverse (86020011), we get a palindrome (196040691).

The spelling of 110020680 in words is "one hundred ten million, twenty thousand, six hundred eighty".