Search a number
-
+
111340008 = 23341313217
BaseRepresentation
bin1101010001011…
…10100111101000
321202111122210000
412220232213220
5212000340013
615014223000
72521242303
oct650564750
9252448700
10111340008
115793743a
1231354a60
131a0b4280
1410b03b3a
159b94973
hex6a2e9e8

111340008 has 80 divisors (see below), whose sum is σ = 335869380. Its totient is φ = 34255872.

The previous prime is 111339983. The next prime is 111340043. The reversal of 111340008 is 800043111.

It can be written as a sum of positive squares in 2 ways, for example, as 104898564 + 6441444 = 10242^2 + 2538^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1816 + ... + 15032.

Almost surely, 2111340008 is an apocalyptic number.

111340008 is a gapful number since it is divisible by the number (18) 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 111340008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167934690).

111340008 is an abundant number, since it is smaller than the sum of its proper divisors (224529372).

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

111340008 is a wasteful number, since it uses less digits than its factorization.

111340008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13248 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 111340008 is about 10551.7774805954. Note that the first 3 decimals coincide. The cubic root of 111340008 is about 481.0797567731.

Adding to 111340008 its reverse (800043111), we get a palindrome (911383119).

The spelling of 111340008 in words is "one hundred eleven million, three hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 13217 26434 39651 52868 79302 105736 118953 158604 171821 237906 317208 343642 356859 475812 515463 687284 713718 951624 1030926 1070577 1374568 1427436 1546389 2061852 2141154 2854872 3092778 4123704 4282308 4639167 6185556 8564616 9278334 12371112 13917501 18556668 27835002 37113336 55670004 111340008