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305120200 = 235271119813
BaseRepresentation
bin10010001011111…
…100001111001000
3210021010201020011
4102023330033020
51111102321300
650135441304
710363323160
oct2213741710
9707121204
10305120200
11147261360
1286226234
134b2a14c8
142c7475a0
151bbc0eba
hex122fc3c8

305120200 has 96 divisors (see below), whose sum is σ = 884496960. Its totient is φ = 95097600.

The previous prime is 305120177. The next prime is 305120317. The reversal of 305120200 is 2021503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5494 + ... + 25306.

It is an arithmetic number, because the mean of its divisors is an integer number (9213510).

Almost surely, 2305120200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442248480).

305120200 is an abundant number, since it is smaller than the sum of its proper divisors (579376760).

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

305120200 is a wasteful number, since it uses less digits than its factorization.

305120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19847 (or 19838 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 305120200 is about 17467.6901735748. The cubic root of 305120200 is about 673.2199647929.

Adding to 305120200 its reverse (2021503), we get a palindrome (307141703).

The spelling of 305120200 in words is "three hundred five million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 19813 39626 79252 99065 138691 158504 198130 217943 277382 396260 435886 495325 554764 693455 792520 871772 990650 1089715 1109528 1386910 1525601 1743544 1981300 2179430 2773820 3051202 3467275 3962600 4358860 5448575 5547640 6102404 6934550 7628005 8717720 10897150 12204808 13869100 15256010 21794300 27738200 30512020 38140025 43588600 61024040 76280050 152560100 305120200