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110053944 = 233371113509
BaseRepresentation
bin1101000111101…
…00101000111000
321200002022122000
412203310220320
5211133211234
614530501000
72504304660
oct643645070
9250068560
10110053944
1157139180
1230a34760
1319a53aa0
141088b1a0
1599dd899
hex68f4a38

110053944 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 26334720.

The previous prime is 110053907. The next prime is 110053949. The reversal of 110053944 is 449350011.

It is a super-2 number, since 2×1100539442 = 24223741179910272, 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 not an unprimeable number, because it can be changed into a prime (110053949) by changing a digit.

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, 215962 + ... + 216470.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2110053944 is an apocalyptic number.

110053944 is a gapful number since it is divisible by the number (14) 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 110053944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

110053944 is an abundant number, since it is smaller than the sum of its proper divisors (301210056).

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

110053944 is a wasteful number, since it uses less digits than its factorization.

110053944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 110053944 is about 10490.6598457866. The cubic root of 110053944 is about 479.2202966497.

The spelling of 110053944 in words is "one hundred ten million, fifty-three thousand, nine hundred forty-four".