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1320216450 = 2352759101211
BaseRepresentation
bin100111010110000…
…1110011110000010
310102000012221111120
41032230032132002
510200433411300
6335000453110
744500440360
oct11654163602
93360187446
101320216450
11618256183
1230a17a196
13180695a87
14c74a4630
157ad853a0
hex4eb0e782

1320216450 has 192 divisors, whose sum is σ = 3861181440. Its totient is φ = 292320000.

The previous prime is 1320216431. The next prime is 1320216451. The reversal of 1320216450 is 546120231.

It is a super-3 number, since 3×13202164503 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1320216450.

It is not an unprimeable number, because it can be changed into a prime (1320216451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6256845 + ... + 6257055.

It is an arithmetic number, because the mean of its divisors is an integer number (20110320).

Almost surely, 21320216450 is an apocalyptic number.

1320216450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320216450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930590720).

1320216450 is an abundant number, since it is smaller than the sum of its proper divisors (2540964990).

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

1320216450 is a wasteful number, since it uses less digits than its factorization.

1320216450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1320216450 is about 36334.7829221533. The cubic root of 1320216450 is about 1097.0212661175.

Adding to 1320216450 its reverse (546120231), we get a palindrome (1866336681).

The spelling of 1320216450 in words is "one billion, three hundred twenty million, two hundred sixteen thousand, four hundred fifty".