Search a number
-
+
120230200 = 23522359443
BaseRepresentation
bin1110010101010…
…01000100111000
322101020022211101
413022221010320
5221234331300
615532541144
72656640236
oct712510470
9271208741
10120230200
1161959802
12343217b4
131bba793c
1411d79956
15a84db6a
hex72a9138

120230200 has 96 divisors (see below), whose sum is σ = 297302400. Its totient is φ = 45119360.

The previous prime is 120230167. The next prime is 120230203. The reversal of 120230200 is 2032021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120230203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271179 + ... + 271621.

It is an arithmetic number, because the mean of its divisors is an integer number (3096900).

Almost surely, 2120230200 is an apocalyptic number.

120230200 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 120230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148651200).

120230200 is an abundant number, since it is smaller than the sum of its proper divisors (177072200).

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

120230200 is a wasteful number, since it uses less digits than its factorization.

120230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 120230200 is about 10964.9532602743. The cubic root of 120230200 is about 493.5576145212.

Adding to 120230200 its reverse (2032021), we get a palindrome (122262221).

The spelling of 120230200 in words is "one hundred twenty million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 59 92 100 115 118 184 200 230 236 295 443 460 472 575 590 886 920 1150 1180 1357 1475 1772 2215 2300 2360 2714 2950 3544 4430 4600 5428 5900 6785 8860 10189 10856 11075 11800 13570 17720 20378 22150 26137 27140 33925 40756 44300 50945 52274 54280 67850 81512 88600 101890 104548 130685 135700 203780 209096 254725 261370 271400 407560 509450 522740 601151 653425 1018900 1045480 1202302 1306850 2037800 2404604 2613700 3005755 4809208 5227400 6011510 12023020 15028775 24046040 30057550 60115100 120230200