Search a number
-
+
110033424 = 2433298783
BaseRepresentation
bin1101000111011…
…11101000010000
321200001021111000
412203233220100
5211132032144
614530222000
72504161104
oct643575020
9250037430
10110033424
1157124816
1230a24900
1319a47647
1410883904
1599d7769
hex68efa10

110033424 has 80 divisors (see below), whose sum is σ = 326764800. Its totient is φ = 35409024.

The previous prime is 110033423. The next prime is 110033467. The reversal of 110033424 is 424330011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110033397 and 110033406.

It is not an unprimeable number, because it can be changed into a prime (110033423) 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 15 ways as a sum of consecutive naturals, for example, 8137 + ... + 16919.

It is an arithmetic number, because the mean of its divisors is an integer number (4084560).

Almost surely, 2110033424 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 110033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163382400).

110033424 is an abundant number, since it is smaller than the sum of its proper divisors (216731376).

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

110033424 is a wasteful number, since it uses less digits than its factorization.

110033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8829 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 110033424 is about 10489.6817873566. The cubic root of 110033424 is about 479.1905106152.

Adding to 110033424 its reverse (424330011), we get a palindrome (534363435).

The spelling of 110033424 in words is "one hundred ten million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 8783 12528 17566 26349 35132 52698 70264 79047 105396 140528 158094 210792 237141 254707 316188 421584 474282 509414 632376 764121 948564 1018828 1264752 1528242 1897128 2037656 2292363 3056484 3794256 4075312 4584726 6112968 6877089 9169452 12225936 13754178 18338904 27508356 36677808 55016712 110033424