Search a number
-
+
110388138 = 23719433217
BaseRepresentation
bin1101001010001…
…10001110101010
321200201022001120
412211012032222
5211224410023
614542000110
72510166210
oct645061652
9250638046
10110388138
1157347273
1230b76036
1319b3cc33
1410936cb0
159a578e3
hex69463aa

110388138 has 64 divisors (see below), whose sum is σ = 271856640. Its totient is φ = 29175552.

The previous prime is 110388137. The next prime is 110388143. The reversal of 110388138 is 831883011.

It is a super-2 number, since 2×1103881382 = 24371082022214088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110388099 and 110388108.

It is not an unprimeable number, because it can be changed into a prime (110388137) 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 31 ways as a sum of consecutive naturals, for example, 32706 + ... + 35922.

It is an arithmetic number, because the mean of its divisors is an integer number (4247760).

Almost surely, 2110388138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110388138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135928320).

110388138 is an abundant number, since it is smaller than the sum of its proper divisors (161468502).

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

110388138 is a wasteful number, since it uses less digits than its factorization.

110388138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291.

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 110388138 is about 10506.5759408096. The cubic root of 110388138 is about 479.7048793507.

The spelling of 110388138 in words is "one hundred ten million, three hundred eighty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 57 86 114 129 133 258 266 301 399 602 798 817 903 1634 1806 2451 3217 4902 5719 6434 9651 11438 17157 19302 22519 34314 45038 61123 67557 122246 135114 138331 183369 276662 366738 414993 427861 829986 855722 968317 1283583 1936634 2567166 2628289 2904951 5256578 5809902 7884867 15769734 18398023 36796046 55194069 110388138