Search a number
-
+
111026340 = 223255771069
BaseRepresentation
bin1101001111000…
…10000010100100
321201220201111200
412213202002210
5211410320330
615003402500
72515464645
oct647420244
9251821450
10111026340
1157742807
1231223430
131a004579
1410a616cc
159b31a60
hex69e20a4

111026340 has 72 divisors (see below), whose sum is σ = 337679160. Its totient is φ = 29528064.

The previous prime is 111026339. The next prime is 111026341. The reversal of 111026340 is 43620111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111026339) and next prime (111026341).

It can be written as a sum of positive squares in 4 ways, for example, as 41370624 + 69655716 = 6432^2 + 8346^2 .

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

It is not an unprimeable number, because it can be changed into a prime (111026341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103326 + ... + 104394.

Almost surely, 2111026340 is an apocalyptic number.

111026340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111026340 is an abundant number, since it is smaller than the sum of its proper divisors (226652820).

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

111026340 is a wasteful number, since it uses less digits than its factorization.

111026340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 111026340 is about 10536.9037197841. The cubic root of 111026340 is about 480.6275645647.

Adding to 111026340 its reverse (43620111), we get a palindrome (154646451).

The spelling of 111026340 in words is "one hundred eleven million, twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 577 1069 1154 1731 2138 2308 2885 3207 3462 4276 5193 5345 5770 6414 6924 8655 9621 10386 10690 11540 12828 16035 17310 19242 20772 21380 25965 32070 34620 38484 48105 51930 64140 96210 103860 192420 616813 1233626 1850439 2467252 3084065 3700878 5551317 6168130 7401756 9252195 11102634 12336260 18504390 22205268 27756585 37008780 55513170 111026340