Search a number
-
+
1211504028 = 2237212171693
BaseRepresentation
bin100100000110110…
…0001010110011100
310010102122210002120
41020031201112130
54440121112103
6320114422540
742010420500
oct11015412634
93112583076
101211504028
115719539a9
12299891a50
13163cc17b7
14b6c86300
157155e253
hex4836159c

1211504028 has 72 divisors (see below), whose sum is σ = 3293014032. Its totient is φ = 345655296.

The previous prime is 1211503999. The next prime is 1211504033. The reversal of 1211504028 is 8204051121.

It is a junction number, because it is equal to n+sod(n) for n = 1211503989 and 1211504007.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 714750 + ... + 716442.

It is an arithmetic number, because the mean of its divisors is an integer number (45736306).

Almost surely, 21211504028 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 1211504028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646507016).

1211504028 is an abundant number, since it is smaller than the sum of its proper divisors (2081510004).

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

1211504028 is a wasteful number, since it uses less digits than its factorization.

1211504028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1211504028 is about 34806.6664304412. Note that the first 3 decimals coincide. The cubic root of 1211504028 is about 1066.0435678988.

Adding to 1211504028 its reverse (8204051121), we get a palindrome (9415555149).

The spelling of 1211504028 in words is "one billion, two hundred eleven million, five hundred four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1217 1693 2434 3386 3651 4868 5079 6772 7302 8519 10158 11851 14604 17038 20316 23702 25557 34076 35553 47404 51114 59633 71106 82957 102228 119266 142212 165914 178899 238532 248871 331828 357798 497742 715596 995484 2060381 4120762 6181143 8241524 12362286 14422667 24724572 28845334 43268001 57690668 86536002 100958669 173072004 201917338 302876007 403834676 605752014 1211504028