[go: up one dir, main page]

Search a number
-
+
1300113304 = 237197331667
BaseRepresentation
bin100110101111110…
…0010011110011000
310100121101121011121
41031133202132120
510130312111204
6333001535024
744134531540
oct11537423630
93317347147
101300113304
11607975406
123034a4474
13179477719
14c4950320
1579213b54
hex4d7e2798

1300113304 has 64 divisors (see below), whose sum is σ = 2938348800. Its totient is φ = 526829184.

The previous prime is 1300113293. The next prime is 1300113307. The reversal of 1300113304 is 4033110031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300113307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779079 + ... + 780745.

It is an arithmetic number, because the mean of its divisors is an integer number (45911700).

Almost surely, 21300113304 is an apocalyptic number.

1300113304 is a gapful number since it is divisible by the number (14) 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 1300113304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469174400).

1300113304 is an abundant number, since it is smaller than the sum of its proper divisors (1638235496).

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

1300113304 is a wasteful number, since it uses less digits than its factorization.

1300113304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1300113304 is about 36057.0839641810. The cubic root of 1300113304 is about 1091.4245896218.

Adding to 1300113304 its reverse (4033110031), we get a palindrome (5333223335).

The spelling of 1300113304 in words is "one billion, three hundred million, one hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 733 1064 1466 1667 2932 3334 5131 5864 6668 10262 11669 13336 13927 20524 23338 27854 31673 41048 46676 55708 63346 93352 97489 111416 126692 194978 221711 253384 389956 443422 779912 886844 1221911 1773688 2443822 4887644 8553377 9775288 17106754 23216309 34213508 46432618 68427016 92865236 162514163 185730472 325028326 650056652 1300113304