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1307130368 = 295943271
BaseRepresentation
bin100110111101001…
…0011101000000000
310101002121002202212
41031322103220000
510134111132433
6333412201252
744251265465
oct11572235000
93332532685
101307130368
11610928435
12305909228
1317aa6362b
14c585966c
1579b4cd48
hex4de93a00

1307130368 has 40 divisors (see below), whose sum is σ = 2656035360. Its totient is φ = 642472960.

The previous prime is 1307130367. The next prime is 1307130379. The reversal of 1307130368 is 8630317031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1307130367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8573 + ... + 51843.

It is an arithmetic number, because the mean of its divisors is an integer number (66400884).

Almost surely, 21307130368 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 1307130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328017680).

1307130368 is an abundant number, since it is smaller than the sum of its proper divisors (1348904992).

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

1307130368 is an frugal number, since it uses more digits than its factorization.

1307130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43348 (or 43332 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 1307130368 is about 36154.2579511736. The cubic root of 1307130368 is about 1093.3846390095.

Adding to 1307130368 its reverse (8630317031), we get a palindrome (9937447399).

The spelling of 1307130368 in words is "one billion, three hundred seven million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1888 3776 7552 15104 30208 43271 86542 173084 346168 692336 1384672 2552989 2769344 5105978 5538688 10211956 11077376 20423912 22154752 40847824 81695648 163391296 326782592 653565184 1307130368