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110430144 = 26321129601
BaseRepresentation
bin1101001010100…
…00011111000000
321200210102200100
412211100133000
5211232231034
614542522400
72510432526
oct645203700
9250712610
10110430144
1157375890
1230b96400
1319b560a6
1410948316
159a65099
hex69507c0

110430144 has 168 divisors, whose sum is σ = 357804720. Its totient is φ = 32256000.

The previous prime is 110430121. The next prime is 110430157. The reversal of 110430144 is 441034011.

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, 183444 + ... + 184044.

It is an arithmetic number, because the mean of its divisors is an integer number (2129790).

Almost surely, 2110430144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178902360).

110430144 is an abundant number, since it is smaller than the sum of its proper divisors (247374576).

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

110430144 is a wasteful number, since it uses less digits than its factorization.

110430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 110430144 is about 10508.5747844320. The cubic root of 110430144 is about 479.7657190028.

Adding to 110430144 its reverse (441034011), we get a palindrome (551464155).

The spelling of 110430144 in words is "one hundred ten million, four hundred thirty thousand, one hundred forty-four".