Search a number
-
+
114005320 = 2351113191049
BaseRepresentation
bin1101100101110…
…01010101001000
321221112001220021
412302321111020
5213141132240
615151310224
72553013012
oct662712510
9257461807
10114005320
1159397980
123221b374
131a808490
14111d91b2
15a01e54a
hex6cb9548

114005320 has 128 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 36218880.

The previous prime is 114005303. The next prime is 114005323. The reversal of 114005320 is 23500411.

It is a junction number, because it is equal to n+sod(n) for n = 114005294 and 114005303.

It is not an unprimeable number, because it can be changed into a prime (114005323) 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 31 ways as a sum of consecutive naturals, for example, 108156 + ... + 109204.

It is an arithmetic number, because the mean of its divisors is an integer number (2480625).

Almost surely, 2114005320 is an apocalyptic number.

114005320 is a gapful number since it is divisible by the number (10) 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 114005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

114005320 is an abundant number, since it is smaller than the sum of its proper divisors (203514680).

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

114005320 is a wasteful number, since it uses less digits than its factorization.

114005320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 114005320 is about 10677.3273809507. The cubic root of 114005320 is about 484.8883010562. Note that the first 3 decimals are identical.

Adding to 114005320 its reverse (23500411), we get a palindrome (137505731).

It can be divided in two parts, 114005 and 320, that multiplied together give a square (36481600 = 60402).

The spelling of 114005320 in words is "one hundred fourteen million, five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 520 572 715 760 836 988 1045 1049 1144 1235 1430 1672 1976 2090 2098 2470 2717 2860 4180 4196 4940 5245 5434 5720 8360 8392 9880 10490 10868 11539 13585 13637 19931 20980 21736 23078 27170 27274 39862 41960 46156 54340 54548 57695 68185 79724 92312 99655 108680 109096 115390 136370 150007 159448 199310 219241 230780 259103 272740 300014 398620 438482 461560 518206 545480 600028 750035 797240 876964 1036412 1096205 1200056 1295515 1500070 1753928 2072824 2192410 2591030 2850133 3000140 4384820 5182060 5700266 6000280 8769640 10364120 11400532 14250665 22801064 28501330 57002660 114005320