Search a number
-
+
112664340 = 22325625913
BaseRepresentation
bin1101011011100…
…01111100010100
321211222221102100
412231301330110
5212320224330
615102442100
72535426315
oct655617424
9254887370
10112664340
1158661428
1231893330
131a458cb9
1410d6a60c
159d57060
hex6b71f14

112664340 has 36 divisors (see below), whose sum is σ = 341749044. Its totient is φ = 30043776.

The previous prime is 112664339. The next prime is 112664341. The reversal of 112664340 is 43466211.

112664340 is a `hidden beast` number, since 1 + 12 + 6 + 643 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112664339) and next prime (112664341).

It can be written as a sum of positive squares in 2 ways, for example, as 67667076 + 44997264 = 8226^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112664341) 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, 312777 + ... + 313136.

It is an arithmetic number, because the mean of its divisors is an integer number (9493029).

Almost surely, 2112664340 is an apocalyptic number.

112664340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112664340 is an abundant number, since it is smaller than the sum of its proper divisors (229084704).

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

112664340 is a wasteful number, since it uses less digits than its factorization.

112664340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625928 (or 625923 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 112664340 is about 10614.3459525305. The cubic root of 112664340 is about 482.9796424171.

The spelling of 112664340 in words is "one hundred twelve million, six hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 625913 1251826 1877739 2503652 3129565 3755478 5633217 6259130 7510956 9388695 11266434 12518260 18777390 22532868 28166085 37554780 56332170 112664340