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114323000 = 23531119547
BaseRepresentation
bin1101101000001…
…10111000111000
321222010012200012
412310012320320
5213231314000
615202201052
72555505131
oct664067070
9258105605
10114323000
1159594620
1232353188
131a8b9c5c
141127cc88
15a083735
hex6d06e38

114323000 has 128 divisors (see below), whose sum is σ = 307756800. Its totient is φ = 39312000.

The previous prime is 114322969. The next prime is 114323003. The reversal of 114323000 is 323411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114323003) 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, 208727 + ... + 209273.

It is an arithmetic number, because the mean of its divisors is an integer number (2404350).

Almost surely, 2114323000 is an apocalyptic number.

114323000 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 114323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153878400).

114323000 is an abundant number, since it is smaller than the sum of its proper divisors (193433800).

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

114323000 is a wasteful number, since it uses less digits than its factorization.

114323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 114323000 is about 10692.1934138885. The cubic root of 114323000 is about 485.3382697005.

Adding to 114323000 its reverse (323411), we get a palindrome (114646411).

The spelling of 114323000 in words is "one hundred fourteen million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 547 550 760 836 950 1000 1045 1094 1100 1375 1672 1900 2090 2188 2200 2375 2735 2750 3800 4180 4376 4750 5225 5470 5500 6017 8360 9500 10393 10450 10940 11000 12034 13675 19000 20786 20900 21880 24068 26125 27350 30085 41572 41800 48136 51965 52250 54700 60170 68375 83144 103930 104500 109400 114323 120340 136750 150425 207860 209000 228646 240680 259825 273500 300850 415720 457292 519650 547000 571615 601700 752125 914584 1039300 1143230 1203400 1299125 1504250 2078600 2286460 2598250 2858075 3008500 4572920 5196500 5716150 6017000 10393000 11432300 14290375 22864600 28580750 57161500 114323000