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1300304200 = 2352133491433
BaseRepresentation
bin100110110000001…
…0001000101001000
310100121202022000211
41031200101011020
510130334213300
6333010010504
744136255226
oct11540210510
93317668024
101300304200
11607a95878
12303576a34
13179513590
14c499db16
15792504ba
hex4d811148

1300304200 has 96 divisors (see below), whose sum is σ = 3267369000. Its totient is φ = 478402560.

The previous prime is 1300304191. The next prime is 1300304227. The reversal of 1300304200 is 24030031.

It can be written as a sum of positive squares in 12 ways, for example, as 158810404 + 1141493796 = 12602^2 + 33786^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 906684 + ... + 908116.

Almost surely, 21300304200 is an apocalyptic number.

1300304200 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 1300304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633684500).

1300304200 is an abundant number, since it is smaller than the sum of its proper divisors (1967064800).

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

1300304200 is a wasteful number, since it uses less digits than its factorization.

1300304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1300304200 is about 36059.7310028791. The cubic root of 1300304200 is about 1091.4780050668.

Adding to 1300304200 its reverse (24030031), we get a palindrome (1324334231).

The spelling of 1300304200 in words is "one billion, three hundred million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 349 520 650 698 1300 1396 1433 1745 2600 2792 2866 3490 4537 5732 6980 7165 8725 9074 11464 13960 14330 17450 18148 18629 22685 28660 34900 35825 36296 37258 45370 57320 69800 71650 74516 90740 93145 113425 143300 149032 181480 186290 226850 286600 372580 453700 465725 500117 745160 907400 931450 1000234 1862900 2000468 2500585 3725800 4000936 5001170 6501521 10002340 12502925 13003042 20004680 25005850 26006084 32507605 50011700 52012168 65015210 100023400 130030420 162538025 260060840 325076050 650152100 1300304200