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1300512144 = 243892931039
BaseRepresentation
bin100110110000100…
…0011110110010000
310100122010212021110
41031201003312100
510130412342034
6333014253320
744141112411
oct11541036620
93318125243
101300512144
11608118028
12303657240
13179587119
14c4a15808
1579291de9
hex4d843d90

1300512144 has 80 divisors (see below), whose sum is σ = 3412281600. Its totient is φ = 426759168.

The previous prime is 1300512127. The next prime is 1300512151. The reversal of 1300512144 is 4412150031.

It is a self number, because there is not a number n which added to its sum of digits gives 1300512144.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1251177 + ... + 1252215.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 21300512144 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 1300512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1300512144 is an abundant number, since it is smaller than the sum of its proper divisors (2111769456).

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

1300512144 is a wasteful number, since it uses less digits than its factorization.

1300512144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1300512144 is about 36062.6142147238. The cubic root of 1300512144 is about 1091.5361848385.

Adding to 1300512144 its reverse (4412150031), we get a palindrome (5712662175).

The spelling of 1300512144 in words is "one billion, three hundred million, five hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 293 356 534 586 712 879 1039 1068 1172 1424 1758 2078 2136 2344 3117 3516 4156 4272 4688 6234 7032 8312 12468 14064 16624 24936 26077 49872 52154 78231 92471 104308 156462 184942 208616 277413 304427 312924 369884 417232 554826 608854 625848 739768 913281 1109652 1217708 1251696 1479536 1826562 2219304 2435416 3653124 4438608 4870832 7306248 14612496 27094003 54188006 81282009 108376012 162564018 216752024 325128036 433504048 650256072 1300512144