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114023112 = 2337976997
BaseRepresentation
bin1101100101111…
…01101011001000
321221112222022020
412302331223020
5213142214422
615151524440
72553115620
oct662755310
9257488266
10114023112
11593aa285
1232229720
131a8135c8
1411201880
15a02495c
hex6cbdac8

114023112 has 64 divisors (see below), whose sum is σ = 329185920. Its totient is φ = 32237568.

The previous prime is 114023093. The next prime is 114023113. The reversal of 114023112 is 211320411.

It is a junction number, because it is equal to n+sod(n) for n = 114023091 and 114023100.

It is not an unprimeable number, because it can be changed into a prime (114023113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12798 + ... + 19794.

It is an arithmetic number, because the mean of its divisors is an integer number (5143530).

Almost surely, 2114023112 is an apocalyptic number.

114023112 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 114023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592960).

114023112 is an abundant number, since it is smaller than the sum of its proper divisors (215162808).

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

114023112 is a wasteful number, since it uses less digits than its factorization.

114023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114023112 is about 10678.1605157443. The cubic root of 114023112 is about 484.9135241011.

Adding to 114023112 its reverse (211320411), we get a palindrome (325343523).

The spelling of 114023112 in words is "one hundred fourteen million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 6997 8148 13994 16296 20991 27988 41982 48979 55976 83964 97958 146937 167928 195916 293874 391832 587748 678709 1175496 1357418 2036127 2714836 4072254 4750963 5429672 8144508 9501926 14252889 16289016 19003852 28505778 38007704 57011556 114023112