Search a number
-
+
114668910 = 232517149503
BaseRepresentation
bin1101101010110…
…11010101101110
321222202210011200
412311123111232
5213323401120
615213430330
72561445456
oct665332556
9258683150
10114668910
11598004a4
123249b3a6
131a9ab535
141132cd66
15a100e90
hex6d5b56e

114668910 has 96 divisors (see below), whose sum is σ = 318427200. Its totient is φ = 28529664.

The previous prime is 114668909. The next prime is 114668921. The reversal of 114668910 is 19866411.

It is a happy number.

It is a super-3 number, since 3×1146689103 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227719 + ... + 228221.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2114668910 is an apocalyptic number.

114668910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114668910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

114668910 is an abundant number, since it is smaller than the sum of its proper divisors (203758290).

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

114668910 is a wasteful number, since it uses less digits than its factorization.

114668910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114668910 is about 10708.3570168350. The cubic root of 114668910 is about 485.8272769342.

The spelling of 114668910 in words is "one hundred fourteen million, six hundred sixty-eight thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 149 153 170 255 298 306 447 503 510 745 765 894 1006 1341 1490 1509 1530 2235 2515 2533 2682 3018 4470 4527 5030 5066 6705 7545 7599 8551 9054 12665 13410 15090 15198 17102 22635 22797 25330 25653 37995 42755 45270 45594 51306 74947 75990 76959 85510 113985 128265 149894 153918 224841 227970 256530 374735 384795 449682 674523 749470 769590 1124205 1274099 1349046 2248410 2548198 3372615 3822297 6370495 6745230 7644594 11466891 12740990 19111485 22933782 38222970 57334455 114668910