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1300230960 = 243573072521
BaseRepresentation
bin100110101111111…
…1111001100110000
310100121121120120020
41031133333030300
510130324342320
6333004243440
744135531550
oct11537771460
93317546506
101300230960
11607a45846
12303540580
131794b9142
14c4981160
1579238940
hex4d7ff330

1300230960 has 160 divisors (see below), whose sum is σ = 4623370752. Its totient is φ = 296110080.

The previous prime is 1300230931. The next prime is 1300230961. The reversal of 1300230960 is 690320031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1300230960.

It is not an unprimeable number, because it can be changed into a prime (1300230961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514500 + ... + 517020.

Almost surely, 21300230960 is an apocalyptic number.

1300230960 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 1300230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311685376).

1300230960 is an abundant number, since it is smaller than the sum of its proper divisors (3323139792).

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

1300230960 is a wasteful number, since it uses less digits than its factorization.

1300230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1300230960 is about 36058.7154513302. The cubic root of 1300230960 is about 1091.4575120801.

Adding to 1300230960 its reverse (690320031), we get a palindrome (1990550991).

The spelling of 1300230960 in words is "one billion, three hundred million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 307 336 420 560 614 840 921 1228 1535 1680 1842 2149 2456 2521 3070 3684 4298 4605 4912 5042 6140 6447 7368 7563 8596 9210 10084 10745 12280 12605 12894 14736 15126 17192 17647 18420 20168 21490 24560 25210 25788 30252 32235 34384 35294 36840 37815 40336 42980 50420 51576 52941 60504 64470 70588 73680 75630 85960 88235 100840 103152 105882 121008 128940 141176 151260 171920 176470 201680 211764 257880 264705 282352 302520 352940 423528 515760 529410 605040 705880 773947 847056 1058820 1411760 1547894 2117640 2321841 3095788 3869735 4235280 4643682 5417629 6191576 7739470 9287364 10835258 11609205 12383152 15478940 16252887 18574728 21670516 23218410 27088145 30957880 32505774 37149456 43341032 46436820 54176290 61915760 65011548 81264435 86682064 92873640 108352580 130023096 162528870 185747280 216705160 260046192 325057740 433410320 650115480 1300230960