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1320200244 = 223211113163181
BaseRepresentation
bin100111010110000…
…1010100000110100
310102000012010021100
41032230022200310
510200432401434
6335000250100
744500342206
oct11654124064
93360163240
101320200244
11618244a90
1230a170930
1318068b59c
14c749c776
157ad80699
hex4eb0a834

1320200244 has 144 divisors (see below), whose sum is σ = 3715717824. Its totient is φ = 391910400.

The previous prime is 1320200243. The next prime is 1320200251. The reversal of 1320200244 is 4420020231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320200243) 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 47 ways as a sum of consecutive naturals, for example, 7293834 + ... + 7294014.

It is an arithmetic number, because the mean of its divisors is an integer number (25803596).

Almost surely, 21320200244 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 1320200244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857858912).

1320200244 is an abundant number, since it is smaller than the sum of its proper divisors (2395517580).

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

1320200244 is a wasteful number, since it uses less digits than its factorization.

1320200244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1320200244 is about 36334.5599120176. The cubic root of 1320200244 is about 1097.0167773588.

Adding to 1320200244 its reverse (4420020231), we get a palindrome (5740220475).

The spelling of 1320200244 in words is "one billion, three hundred twenty million, two hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 163 181 198 226 326 339 362 396 452 489 543 652 678 724 978 1017 1086 1243 1356 1467 1629 1793 1956 1991 2034 2172 2486 2934 3258 3586 3729 3982 4068 4972 5379 5868 5973 6516 7172 7458 7964 10758 11187 11946 14916 16137 17919 18419 20453 21516 22374 23892 29503 32274 35838 36838 40906 44748 55257 59006 61359 64548 71676 73676 81812 88509 110514 118012 122718 165771 177018 184077 202609 221028 224983 245436 265527 324533 331542 354036 368154 405218 449966 531054 607827 649066 663084 674949 736308 810436 899932 973599 1062108 1215654 1298132 1349898 1823481 1947198 2024847 2431308 2699796 2920797 3333839 3646962 3894396 4049694 5841594 6667678 7293924 8099388 10001517 11683188 13335356 20003034 30004551 36672229 40006068 60009102 73344458 110016687 120018204 146688916 220033374 330050061 440066748 660100122 1320200244