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1330041200 = 245215721179
BaseRepresentation
bin100111101000110…
…1101000101110000
310102200201002112012
41033101231011300
510210442304300
6335551222052
744650110065
oct11721550560
93380632465
101330041200
11622856704
12311517928
13182725937
14c8900c6c
157bb76435
hex4f46d170

1330041200 has 60 divisors (see below), whose sum is σ = 3215928840. Its totient is φ = 528602880.

The previous prime is 1330041197. The next prime is 1330041221. The reversal of 1330041200 is 21400331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52211 + ... + 73389.

It is an arithmetic number, because the mean of its divisors is an integer number (53598814).

Almost surely, 21330041200 is an apocalyptic number.

1330041200 is a gapful number since it is divisible by the number (10) 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 1330041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607964420).

1330041200 is an abundant number, since it is smaller than the sum of its proper divisors (1885887640).

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

1330041200 is a wasteful number, since it uses less digits than its factorization.

1330041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354 (or 21343 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1330041200 is about 36469.7299139985. The cubic root of 1330041200 is about 1099.7358043197.

Adding to 1330041200 its reverse (21400331), we get a palindrome (1351441531).

The spelling of 1330041200 in words is "one billion, three hundred thirty million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 157 200 314 400 628 785 1256 1570 2512 3140 3925 6280 7850 12560 15700 21179 31400 42358 62800 84716 105895 169432 211790 338864 423580 529475 847160 1058950 1694320 2117900 3325103 4235800 6650206 8471600 13300412 16625515 26600824 33251030 53201648 66502060 83127575 133004120 166255150 266008240 332510300 665020600 1330041200