Search a number
-
+
2110112 = 25234761
BaseRepresentation
bin1000000011001010100000
310222012112022
420003022200
51020010422
6113121012
723635634
oct10031240
93865468
102110112
1112113a4
12859168
1358b5b4
143ccdc4
152ba342
hex2032a0

2110112 has 48 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 971520.

The previous prime is 2110103. The next prime is 2110123.

2110112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2110112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34562 + ... + 34622.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22110112 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 2110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

2110112 is an abundant number, since it is smaller than the sum of its proper divisors (2389600).

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

2110112 is a wasteful number, since it uses less digits than its factorization.

2110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2110112 is about 1452.6224561117. The cubic root of 2110112 is about 128.2631305848.

It can be divided in two parts, 2110 and 112, that added together give a palindrome (2222).

The spelling of 2110112 in words is "two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 47 61 92 94 122 184 188 244 368 376 488 736 752 976 1081 1403 1504 1952 2162 2806 2867 4324 5612 5734 8648 11224 11468 17296 22448 22936 34592 44896 45872 65941 91744 131882 263764 527528 1055056 2110112