Search a number
-
+
114668544 = 2103163229
BaseRepresentation
bin1101101010110…
…11010000000000
321222202202200010
412311123100000
5213323343134
615213424520
72561444424
oct665332000
9258682603
10114668544
11598001a1
123249b140
131a9ab313
141132cb84
15a100ce9
hex6d5b400

114668544 has 88 divisors (see below), whose sum is σ = 308851360. Its totient is φ = 37822464.

The previous prime is 114668539. The next prime is 114668551. The reversal of 114668544 is 445866411.

It is a nialpdrome in base 8.

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, 500622 + ... + 500850.

Almost surely, 2114668544 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 114668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154425680).

114668544 is an abundant number, since it is smaller than the sum of its proper divisors (194182816).

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

114668544 is a wasteful number, since it uses less digits than its factorization.

114668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 397 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 114668544 is about 10708.3399273650. The cubic root of 114668544 is about 485.8267600462.

The spelling of 114668544 in words is "one hundred fourteen million, six hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 229 256 326 384 458 489 512 652 687 768 916 978 1024 1304 1374 1536 1832 1956 2608 2748 3072 3664 3912 5216 5496 7328 7824 10432 10992 14656 15648 20864 21984 29312 31296 37327 41728 43968 58624 62592 74654 83456 87936 111981 117248 125184 149308 166912 175872 223962 234496 250368 298616 351744 447924 500736 597232 703488 895848 1194464 1791696 2388928 3583392 4777856 7166784 9555712 14333568 19111424 28667136 38222848 57334272 114668544