Search a number
-
+
1300000832 = 261312011301
BaseRepresentation
bin100110101111100…
…0111000001000000
310100121011212212222
41031133013001000
510130300011312
6332555310212
744133552614
oct11537070100
93317155788
101300000832
116078a8959
1230344b368
13179438480
14c4921344
15791e0672
hex4d7c7040

1300000832 has 56 divisors (see below), whose sum is σ = 2782577112. Its totient is φ = 599040000.

The previous prime is 1300000831. The next prime is 1300000909. The reversal of 1300000832 is 2380000031.

It can be written as a sum of positive squares in 4 ways, for example, as 352838656 + 947162176 = 18784^2 + 30776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1300000832.

It is not an unprimeable number, because it can be changed into a prime (1300000831) 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 7 ways as a sum of consecutive naturals, for example, 998582 + ... + 999882.

It is an arithmetic number, because the mean of its divisors is an integer number (49688877).

Almost surely, 21300000832 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 1300000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391288556).

1300000832 is an abundant number, since it is smaller than the sum of its proper divisors (1482576280).

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

1300000832 is a wasteful number, since it uses less digits than its factorization.

1300000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1300000832 is about 36055.5242924021. The cubic root of 1300000832 is about 1091.3931158915.

Adding to 1300000832 its reverse (2380000031), we get a palindrome (3680000863).

The spelling of 1300000832 in words is "one billion, three hundred million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1201 1301 2402 2602 4804 5204 9608 10408 15613 16913 19216 20816 31226 33826 38432 41632 62452 67652 76864 83264 124904 135304 249808 270608 499616 541216 999232 1082432 1562501 3125002 6250004 12500008 20312513 25000016 40625026 50000032 81250052 100000064 162500104 325000208 650000416 1300000832