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110420052 = 223294171109
BaseRepresentation
bin1101001010011…
…10000001010100
321200202220211120
412211032001110
5211231420202
614542403540
72510361231
oct645160124
9250686746
10110420052
1157369246
1230b905b0
1319b51612
1410944788
159a620bc
hex694e054

110420052 has 96 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 33868800.

The previous prime is 110420029. The next prime is 110420053. The reversal of 110420052 is 250024011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110420053) 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 31 ways as a sum of consecutive naturals, for example, 1012974 + ... + 1013082.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2110420052 is an apocalyptic number.

110420052 is a gapful number since it is divisible by the number (12) 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 110420052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

110420052 is an abundant number, since it is smaller than the sum of its proper divisors (168997548).

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

110420052 is a wasteful number, since it uses less digits than its factorization.

110420052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 110420052 is about 10508.0945941688. The cubic root of 110420052 is about 479.7511035999.

Adding to 110420052 its reverse (250024011), we get a palindrome (360444063).

The spelling of 110420052 in words is "one hundred ten million, four hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 41 58 71 82 87 109 116 123 142 164 174 213 218 246 284 327 348 426 436 492 654 852 1189 1308 2059 2378 2911 3161 3567 4118 4469 4756 5822 6177 6322 7134 7739 8236 8733 8938 9483 11644 12354 12644 13407 14268 15478 17466 17876 18966 23217 24708 26814 30956 34932 37932 46434 53628 84419 92868 129601 168838 224431 253257 259202 317299 337676 388803 448862 506514 518404 634598 673293 777606 897724 951897 1013028 1269196 1346586 1555212 1903794 2693172 3807588 9201671 18403342 27605013 36806684 55210026 110420052