Search a number
-
+
2118116 = 2271113232
BaseRepresentation
bin1000000101000111100100
310222121111202
420011013210
51020234431
6113222032
724001160
oct10050744
93877452
102118116
111217410
12861918
13592130
143d1ca0
152bc8cb
hex2051e4

2118116 has 72 divisors (see below), whose sum is σ = 5202624. Its totient is φ = 728640.

The previous prime is 2118113. The next prime is 2118119. The reversal of 2118116 is 6118112.

2118116 = T195 + T196 + ... + T271.

2118116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2118113) and next prime (2118119).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2118113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92081 + ... + 92103.

22118116 is an apocalyptic number.

2118116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601312).

2118116 is an abundant number, since it is smaller than the sum of its proper divisors (3084508).

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

2118116 is a wasteful number, since it uses less digits than its factorization.

2118116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its digits is 96, while the sum is 20.

The square root of 2118116 is about 1455.3748657992. The cubic root of 2118116 is about 128.4251003100.

The spelling of 2118116 in words is "two million, one hundred eighteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 23 26 28 44 46 52 77 91 92 143 154 161 182 253 286 299 308 322 364 506 529 572 598 644 1001 1012 1058 1196 1771 2002 2093 2116 3289 3542 3703 4004 4186 5819 6578 6877 7084 7406 8372 11638 13156 13754 14812 23023 23276 27508 40733 46046 48139 75647 81466 92092 96278 151294 162932 192556 302588 529529 1059058 2118116