Search a number
-
+
1045211024 = 2411131014523
BaseRepresentation
bin111110010011001…
…010011110010000
32200211202012222102
4332103022132100
54120033223044
6251414255532
734621101314
oct7623123620
92624665872
101045211024
11496aa3570
122520575a8
13138709880
149cb59b44
1561b6224e
hex3e4ca790

1045211024 has 80 divisors (see below), whose sum is σ = 2403221184. Its totient is φ = 434112000.

The previous prime is 1045211023. The next prime is 1045211029. The reversal of 1045211024 is 4201125401.

It is a happy number.

1045211024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10452110242 = 2184932169382257152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1045210987 and 1045211005.

It is not an unprimeable number, because it can be changed into a prime (1045211021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228827 + ... + 233349.

Almost surely, 21045211024 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 1045211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201610592).

1045211024 is an abundant number, since it is smaller than the sum of its proper divisors (1358010160).

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

1045211024 is a wasteful number, since it uses less digits than its factorization.

1045211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1045211024 is about 32329.7235373271. The cubic root of 1045211024 is about 1014.8487642206.

Adding to 1045211024 its reverse (4201125401), we get a palindrome (5246336425).

The spelling of 1045211024 in words is "one billion, forty-five million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 101 104 143 176 202 208 286 404 572 808 1111 1144 1313 1616 2222 2288 2626 4444 4523 5252 8888 9046 10504 14443 17776 18092 21008 28886 36184 49753 57772 58799 72368 99506 115544 117598 199012 231088 235196 398024 456823 470392 646789 796048 913646 940784 1293578 1827292 2587156 3654584 5025053 5174312 5938699 7309168 10050106 10348624 11877398 20100212 23754796 40200424 47509592 65325689 80400848 95019184 130651378 261302756 522605512 1045211024