Search a number
-
+
112841064 = 23327733067
BaseRepresentation
bin1101011100111…
…01000101101000
321212022220211200
412232131011220
5212341403224
615110324200
72540063460
oct656350550
9255286750
10112841064
1158772186
1231959660
131a4bb57b
1410db4ba0
159d8e5c9
hex6b9d168

112841064 has 96 divisors (see below), whose sum is σ = 354169920. Its totient is φ = 31788288.

The previous prime is 112841041. The next prime is 112841077. The reversal of 112841064 is 460148211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35259 + ... + 38325.

It is an arithmetic number, because the mean of its divisors is an integer number (3689270).

Almost surely, 2112841064 is an apocalyptic number.

112841064 is a gapful number since it is divisible by the number (14) 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 112841064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177084960).

112841064 is an abundant number, since it is smaller than the sum of its proper divisors (241328856).

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

112841064 is a wasteful number, since it uses less digits than its factorization.

112841064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112841064 is about 10622.6674616125. The cubic root of 112841064 is about 483.2320426136.

Adding to 112841064 its reverse (460148211), we get a palindrome (572989275).

The spelling of 112841064 in words is "one hundred twelve million, eight hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 3067 4088 4599 5256 6132 6134 9198 9201 12264 12268 18396 18402 21469 24536 27603 36792 36804 42938 55206 64407 73608 85876 110412 128814 171752 193221 220824 223891 257628 386442 447782 515256 671673 772884 895564 1343346 1545768 1567237 1791128 2015019 2686692 3134474 4030038 4701711 5373384 6268948 8060076 9403422 12537896 14105133 16120152 18806844 28210266 37613688 56420532 112841064