Search a number
-
+
114633246 = 23721389337
BaseRepresentation
bin1101101010100…
…10101000011110
321222200222020210
412311102220132
5213321230441
615212553250
72561236500
oct665225036
9258628223
10114633246
1159786722
1232482826
131a998230
141131dd70
15a0e5616
hex6d52a1e

114633246 has 96 divisors (see below), whose sum is σ = 291301920. Its totient is φ = 29804544.

The previous prime is 114633241. The next prime is 114633301. The reversal of 114633246 is 642336411.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114633241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339990 + ... + 340326.

It is an arithmetic number, because the mean of its divisors is an integer number (3034395).

Almost surely, 2114633246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114633246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650960).

114633246 is an abundant number, since it is smaller than the sum of its proper divisors (176668674).

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

114633246 is a wasteful number, since it uses less digits than its factorization.

114633246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 114633246 is about 10706.6916458820. The cubic root of 114633246 is about 485.7769048366.

Adding to 114633246 its reverse (642336411), we get a palindrome (756969657).

The spelling of 114633246 in words is "one hundred fourteen million, six hundred thirty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 89 91 98 147 178 182 267 273 294 337 534 546 623 637 674 1011 1157 1246 1274 1869 1911 2022 2314 2359 3471 3738 3822 4361 4381 4718 6942 7077 8099 8722 8762 13083 13143 14154 16198 16513 24297 26166 26286 29993 30667 33026 48594 49539 56693 59986 61334 89979 92001 99078 113386 170079 179958 184002 209951 214669 340158 389909 419902 429338 629853 644007 779818 1169727 1259706 1288014 1469657 2339454 2729363 2939314 4408971 5458726 8188089 8817942 16376178 19105541 38211082 57316623 114633246