Search a number
-
+
114026568 = 23361711097
BaseRepresentation
bin1101100101111…
…10100001001000
321221120011001020
412302332201020
5213142322233
615151552440
72553131655
oct662764110
9257504036
10114026568
1159401937
123222b720
131a815056
1411202c2c
15a0259b3
hex6cbe848

114026568 has 64 divisors (see below), whose sum is σ = 294088320. Its totient is φ = 36825600.

The previous prime is 114026567. The next prime is 114026573. The reversal of 114026568 is 865620411.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 1140 and 26568 contains 114026568 itself.

It is not an unprimeable number, because it can be changed into a prime (114026567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103396 + ... + 104492.

It is an arithmetic number, because the mean of its divisors is an integer number (4595130).

Almost surely, 2114026568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114026568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147044160).

114026568 is an abundant number, since it is smaller than the sum of its proper divisors (180061752).

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

114026568 is a wasteful number, since it uses less digits than its factorization.

114026568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 114026568 is about 10678.3223401431. The cubic root of 114026568 is about 484.9184232371.

Adding to 114026568 its reverse (865620411), we get a palindrome (979646979).

The spelling of 114026568 in words is "one hundred fourteen million, twenty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 71 122 142 183 213 244 284 366 426 488 568 732 852 1097 1464 1704 2194 3291 4331 4388 6582 8662 8776 12993 13164 17324 25986 26328 34648 51972 66917 77887 103944 133834 155774 200751 233661 267668 311548 401502 467322 535336 623096 803004 934644 1606008 1869288 4751107 9502214 14253321 19004428 28506642 38008856 57013284 114026568