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1365140196 = 2233721913577
BaseRepresentation
bin101000101011110…
…0110001011100100
310112010202022022000
41101113212023210
510243433441241
6343243405300
745554333400
oct12127461344
93463668260
101365140196
1164064a042
12321223830
13189a94784
14cd43a100
157ecaaeb6
hex515e62e4

1365140196 has 144 divisors (see below), whose sum is σ = 4334097600. Its totient is φ = 369484416.

The previous prime is 1365140173. The next prime is 1365140201. The reversal of 1365140196 is 6910415631.

1365140196 is a `hidden beast` number, since 136 + 514 + 0 + 1 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1365140196.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93760 + ... + 107336.

It is an arithmetic number, because the mean of its divisors is an integer number (30097900).

Almost surely, 21365140196 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 1365140196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167048800).

1365140196 is an abundant number, since it is smaller than the sum of its proper divisors (2968957404).

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

1365140196 is a wasteful number, since it uses less digits than its factorization.

1365140196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13623 (or 13608 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1365140196 is about 36947.8036695011. The cubic root of 1365140196 is about 1109.3257263585.

The spelling of 1365140196 in words is "one billion, three hundred sixty-five million, one hundred forty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1596 1764 1862 2052 2394 2646 2793 3591 3724 4788 5292 5586 7182 8379 11172 13577 14364 16758 25137 27154 33516 40731 50274 54308 81462 95039 100548 122193 162924 190078 244386 257963 285117 366579 380156 488772 515926 570234 665273 733158 773889 855351 1031852 1140468 1330546 1466316 1547778 1710702 1805741 1995819 2321667 2566053 2661092 3095556 3421404 3611482 3991638 4643334 5132106 5417223 5987457 6965001 7222964 7983276 9286668 10264212 10834446 11974914 12640187 13930002 16251669 17962371 21668892 23949828 25280374 27860004 32503338 35924742 37920561 48755007 50560748 65006676 71849484 75841122 97510014 113761683 151682244 195020028 227523366 341285049 455046732 682570098 1365140196