Search a number
-
+
2111128 = 231719243
BaseRepresentation
bin1000000011011010011000
310222020220221
420003122120
51020024003
6113125424
723641615
oct10033230
93866827
102111128
111212138
12859874
1358bbb6
143cd50c
152ba7bd
hex203698

2111128 has 48 divisors (see below), whose sum is σ = 4526280. Its totient is φ = 919296.

The previous prime is 2111107. The next prime is 2111129. The reversal of 2111128 is 8211112.

It is a super-2 number, since 2×21111282 = 8913722864768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49075 + ... + 49117.

22111128 is an apocalyptic number.

It is an amenable number.

2111128 is an abundant number, since it is smaller than the sum of its proper divisors (2415152).

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

2111128 is a wasteful number, since it uses less digits than its factorization.

2111128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its digits is 32, while the sum is 16.

The square root of 2111128 is about 1452.9721263672. The cubic root of 2111128 is about 128.2837131306.

Subtracting from 2111128 its sum of digits (16), we obtain a palindrome (2111112).

The spelling of 2111128 in words is "two million, one hundred eleven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 136 152 172 323 344 361 646 722 731 817 1292 1444 1462 1634 2584 2888 2924 3268 5848 6137 6536 12274 13889 15523 24548 27778 31046 49096 55556 62092 111112 124184 263891 527782 1055564 2111128