Search a number
-
+
1244200512 = 26311357347
BaseRepresentation
bin100101000101000…
…1111111001000000
310012201011221020110
41022022033321000
510022003404022
6323243311320
742555346512
oct11212177100
93181157213
101244200512
11589356295
122a881b540
1316a9cbc29
14bb357bb2
157436c00c
hex4a28fe40

1244200512 has 56 divisors (see below), whose sum is σ = 3321137376. Its totient is φ = 411056128.

The previous prime is 1244200501. The next prime is 1244200513. The reversal of 1244200512 is 2150024421.

It is a super-2 number, since 2×12442005122 = 3096069828122124288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1244200513) 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, 6978 + ... + 50369.

Almost surely, 21244200512 is an apocalyptic number.

1244200512 is a gapful number since it is divisible by the number (12) 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 1244200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660568688).

1244200512 is an abundant number, since it is smaller than the sum of its proper divisors (2076936864).

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

1244200512 is a wasteful number, since it uses less digits than its factorization.

1244200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57475 (or 57465 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1244200512 is about 35273.2265606650. The cubic root of 1244200512 is about 1075.5488128298.

Adding to 1244200512 its reverse (2150024421), we get a palindrome (3394224933).

The spelling of 1244200512 in words is "one billion, two hundred forty-four million, two hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7232 10848 21696 57347 114694 172041 229388 344082 458776 688164 917552 1376328 1835104 2752656 3670208 5505312 6480211 11010624 12960422 19440633 25920844 38881266 51841688 77762532 103683376 155525064 207366752 311050128 414733504 622100256 1244200512