Search a number
-
+
11128110 = 2357192789
BaseRepresentation
bin101010011100…
…110100101110
3202221100220020
4222130310232
510322044420
61034303010
7163405320
oct52346456
922840806
1011128110
116310794
123887a66
1323c81a6
141699610
15e9c340
hexa9cd2e

11128110 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 2408832.

The previous prime is 11128109. The next prime is 11128111. The reversal of 11128110 is 1182111.

It is an interprime number because it is at equal distance from previous prime (11128109) and next prime (11128111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11128110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11128111) 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, 2596 + ... + 5384.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 211128110 is an apocalyptic number.

11128110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11128110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

11128110 is an abundant number, since it is smaller than the sum of its proper divisors (21012690).

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

11128110 is a wasteful number, since it uses less digits than its factorization.

11128110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825.

The product of its (nonzero) digits is 16, while the sum is 15.

The square root of 11128110 is about 3335.8821921645. The cubic root of 11128110 is about 223.2580548745.

The spelling of 11128110 in words is "eleven million, one hundred twenty-eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 2789 3990 5578 8367 13945 16734 19523 27890 39046 41835 52991 58569 83670 97615 105982 117138 158973 195230 264955 292845 317946 370937 529910 585690 741874 794865 1112811 1589730 1854685 2225622 3709370 5564055 11128110