Search a number
-
+
112392192 = 2113111663
BaseRepresentation
bin1101011001011…
…11100000000000
321211111010002210
412230233200000
5212233022232
615052542120
72533214013
oct654574000
9254433083
10112392192
1158495a10
1231781940
131a392173
1410cd937a
159d015cc
hex6b2f800

112392192 has 96 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 34037760.

The previous prime is 112392179. The next prime is 112392211. The reversal of 112392192 is 291293211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66753 + ... + 68415.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2112392192 is an apocalyptic number.

112392192 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 112392192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

112392192 is an abundant number, since it is smaller than the sum of its proper divisors (214683648).

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

112392192 is a wasteful number, since it uses less digits than its factorization.

112392192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1679 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 112392192 is about 10601.5183818168. The cubic root of 112392192 is about 482.5904393457.

It can be divided in two parts, 11239 and 2192, that added together give a palindrome (13431).

The spelling of 112392192 in words is "one hundred twelve million, three hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 1663 2048 2112 2816 3072 3326 4224 4989 5632 6144 6652 8448 9978 11264 13304 16896 18293 19956 22528 26608 33792 36586 39912 53216 54879 67584 73172 79824 106432 109758 146344 159648 212864 219516 292688 319296 425728 439032 585376 638592 851456 878064 1170752 1277184 1702912 1756128 2341504 2554368 3405824 3512256 4683008 5108736 7024512 9366016 10217472 14049024 18732032 28098048 37464064 56196096 112392192