Search a number
-
+
112183296 = 211319312
BaseRepresentation
bin1101010111111…
…00100000000000
321211002111112220
412223330200000
5212204331141
615044251040
72531354001
oct653744000
9254074486
10112183296
1158362a75
12316a0a80
131a31b064
1410c831a8
159cae766
hex6afc800

112183296 has 144 divisors (see below), whose sum is σ = 325306800. Its totient is φ = 34283520.

The previous prime is 112183243. The next prime is 112183319. The reversal of 112183296 is 692381211.

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 11 ways as a sum of consecutive naturals, for example, 3618801 + ... + 3618831.

It is an arithmetic number, because the mean of its divisors is an integer number (2259075).

Almost surely, 2112183296 is an apocalyptic number.

112183296 is a gapful number since it is divisible by the number (16) 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 112183296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162653400).

112183296 is an abundant number, since it is smaller than the sum of its proper divisors (213123504).

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

112183296 is an equidigital number, since it uses as much as digits as its factorization.

112183296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 55 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 112183296 is about 10591.6616260151. The cubic root of 112183296 is about 482.2912675134.

The spelling of 112183296 in words is "one hundred twelve million, one hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 512 589 608 744 768 912 961 992 1024 1178 1216 1488 1536 1767 1824 1922 1984 2048 2356 2432 2883 2976 3072 3534 3648 3844 3968 4712 4864 5766 5952 6144 7068 7296 7688 7936 9424 9728 11532 11904 14136 14592 15376 15872 18259 18848 19456 23064 23808 28272 29184 30752 31744 36518 37696 38912 46128 47616 54777 56544 58368 61504 63488 73036 75392 92256 95232 109554 113088 116736 123008 146072 150784 184512 190464 219108 226176 246016 292144 301568 369024 438216 452352 492032 584288 603136 738048 876432 904704 984064 1168576 1206272 1476096 1752864 1809408 1968128 2337152 2952192 3505728 3618816 4674304 5904384 7011456 9348608 14022912 18697216 28045824 37394432 56091648 112183296