Search a number
-
+
112757112 = 233213179673
BaseRepresentation
bin1101011100010…
…00100101111000
321212011122200100
412232020211320
5212331211422
615104435400
72536263636
oct656104570
9255148610
10112757112
11587150a6
1231918b60
131a48c2b0
1410d92356
159d747ac
hex6b88978

112757112 has 96 divisors (see below), whose sum is σ = 331203600. Its totient is φ = 34449408.

The previous prime is 112757101. The next prime is 112757143. The reversal of 112757112 is 211757211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167208 + ... + 167880.

Almost surely, 2112757112 is an apocalyptic number.

112757112 is a gapful number since it is divisible by the number (12) 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 112757112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165601800).

112757112 is an abundant number, since it is smaller than the sum of its proper divisors (218446488).

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

112757112 is a wasteful number, since it uses less digits than its factorization.

112757112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 870 counting only the distinct ones).

The product of its digits is 980, while the sum is 27.

The square root of 112757112 is about 10618.7151765174. The cubic root of 112757112 is about 483.1121738357.

Subtracting 112757112 from its reverse (211757211), we obtain a palindrome (99000099).

The spelling of 112757112 in words is "one hundred twelve million, seven hundred fifty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 179 234 312 358 468 537 673 716 936 1074 1346 1432 1611 2019 2148 2327 2692 3222 4038 4296 4654 5384 6057 6444 6981 8076 8749 9308 12114 12888 13962 16152 17498 18616 20943 24228 26247 27924 34996 41886 48456 52494 55848 69992 78741 83772 104988 120467 157482 167544 209976 240934 314964 361401 481868 629928 722802 963736 1084203 1445604 1566071 2168406 2891208 3132142 4336812 4698213 6264284 8673624 9396426 12528568 14094639 18792852 28189278 37585704 56378556 112757112