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1200130304 = 2853197449
BaseRepresentation
bin100011110001000…
…1000100100000000
310002122020221021112
41013202020210000
54424213132204
6315030542452
741511640112
oct10742104400
93078227245
101200130304
1156649572a
12295b07a28
1316183b899
14b55653b2
157056426e
hex47888900

1200130304 has 72 divisors (see below), whose sum is σ = 2458625400. Its totient is φ = 584450048.

The previous prime is 1200130291. The next prime is 1200130313. The reversal of 1200130304 is 4030310021.

It can be written as a sum of positive squares in 4 ways, for example, as 718240000 + 481890304 = 26800^2 + 21952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2672672 + ... + 2673120.

It is an arithmetic number, because the mean of its divisors is an integer number (34147575).

Almost surely, 21200130304 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 1200130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229312700).

1200130304 is an abundant number, since it is smaller than the sum of its proper divisors (1258495096).

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

1200130304 is an equidigital number, since it uses as much as digits as its factorization.

1200130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1200130304 is about 34642.8968765604. The cubic root of 1200130304 is about 1062.6970313078.

Adding to 1200130304 its reverse (4030310021), we get a palindrome (5230440325).

The spelling of 1200130304 in words is "one billion, two hundred million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 197 212 256 394 424 449 788 848 898 1576 1696 1796 3152 3392 3592 6304 6784 7184 10441 12608 13568 14368 20882 23797 25216 28736 41764 47594 50432 57472 83528 88453 95188 114944 167056 176906 190376 334112 353812 380752 668224 707624 761504 1336448 1415248 1523008 2672896 2830496 3046016 4688009 5660992 6092032 9376018 11321984 18752036 22643968 37504072 75008144 150016288 300032576 600065152 1200130304