Search a number
-
+
120225300 = 2235213291063
BaseRepresentation
bin1110010101001…
…11111000010100
322101020002002220
413022213320110
5221234202200
615532502340
72656620036
oct712477024
9271202086
10120225300
1161956058
123431a9b0
131bba5640
1411d77c56
15a84c4a0
hex72a7e14

120225300 has 144 divisors (see below), whose sum is σ = 387891840. Its totient is φ = 28546560.

The previous prime is 120225289. The next prime is 120225311. The reversal of 120225300 is 3522021.

It is an interprime number because it is at equal distance from previous prime (120225289) and next prime (120225311).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120225300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112569 + ... + 113631.

Almost surely, 2120225300 is an apocalyptic number.

120225300 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 120225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193945920).

120225300 is an abundant number, since it is smaller than the sum of its proper divisors (267666540).

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

120225300 is a wasteful number, since it uses less digits than its factorization.

120225300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 120225300 is about 10964.7298188327. The cubic root of 120225300 is about 493.5509094250.

Adding to 120225300 its reverse (3522021), we get a palindrome (123747321).

The spelling of 120225300 in words is "one hundred twenty million, two hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 975 1063 1131 1300 1450 1508 1740 1885 1950 2126 2175 2262 2900 3189 3770 3900 4252 4350 4524 5315 5655 6378 7540 8700 9425 10630 11310 12756 13819 15945 18850 21260 22620 26575 27638 28275 30827 31890 37700 41457 53150 55276 56550 61654 63780 69095 79725 82914 92481 106300 113100 123308 138190 154135 159450 165828 184962 207285 276380 308270 318900 345475 369924 400751 414570 462405 616540 690950 770675 801502 829140 924810 1036425 1202253 1381900 1541350 1603004 1849620 2003755 2072850 2312025 2404506 3082700 4007510 4145700 4624050 4809012 6011265 8015020 9248100 10018775 12022530 20037550 24045060 30056325 40075100 60112650 120225300