Search a number
-
+
114123000 = 23353109349
BaseRepresentation
bin1101100110101…
…10000011111000
321221202001022210
412303112003320
5213203414000
615154015120
72554013055
oct663260370
9257661283
10114123000
1159468332
12322774a0
131a849c04
141122a02c
15a044350
hex6cd60f8

114123000 has 128 divisors (see below), whose sum is σ = 360360000. Its totient is φ = 30067200.

The previous prime is 114122977. The next prime is 114123001. The reversal of 114123000 is 321411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326826 + ... + 327174.

Almost surely, 2114123000 is an apocalyptic number.

114123000 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 114123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180180000).

114123000 is an abundant number, since it is smaller than the sum of its proper divisors (246237000).

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

114123000 is a wasteful number, since it uses less digits than its factorization.

114123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114123000 is about 10682.8367019252. The cubic root of 114123000 is about 485.0550828429.

Adding to 114123000 its reverse (321411), we get a palindrome (114444411).

The spelling of 114123000 in words is "one hundred fourteen million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 125 150 200 218 250 300 327 349 375 436 500 545 600 654 698 750 872 1000 1047 1090 1308 1396 1500 1635 1745 2094 2180 2616 2725 2792 3000 3270 3490 4188 4360 5235 5450 6540 6980 8175 8376 8725 10470 10900 13080 13625 13960 16350 17450 20940 21800 26175 27250 32700 34900 38041 40875 41880 43625 52350 54500 65400 69800 76082 81750 87250 104700 109000 114123 130875 152164 163500 174500 190205 209400 228246 261750 304328 327000 349000 380410 456492 523500 570615 760820 912984 951025 1047000 1141230 1521640 1902050 2282460 2853075 3804100 4564920 4755125 5706150 7608200 9510250 11412300 14265375 19020500 22824600 28530750 38041000 57061500 114123000