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110327040 = 2832561157
BaseRepresentation
bin1101001001101…
…11010100000000
321200121012020200
412210313110000
5211220431130
614540405200
72506523115
oct644672400
9250535220
10110327040
115730537a
1230b46800
1319b1b195
141091c90c
159a44760
hex6937500

110327040 has 216 divisors, whose sum is σ = 390448968. Its totient is φ = 28753920.

The previous prime is 110327027. The next prime is 110327069. The reversal of 110327040 is 40723011.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 109495296 = 912^2 + 10464^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 702642 + ... + 702798.

Almost surely, 2110327040 is an apocalyptic number.

110327040 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 110327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195224484).

110327040 is an abundant number, since it is smaller than the sum of its proper divisors (280121928).

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

110327040 is a wasteful number, since it uses less digits than its factorization.

110327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 110327040 is about 10503.6679307754. The cubic root of 110327040 is about 479.6163601243.

The spelling of 110327040 in words is "one hundred ten million, three hundred twenty-seven thousand, forty".