Search a number
-
+
1196206920 = 233353135729
BaseRepresentation
bin100011101001100…
…1010101101001000
310002100212121102000
41013103022231020
54422212110140
6314410511000
741433406506
oct10723125510
93070777360
101196206920
11564255a67
12294735460
13160a96b5c
14b4c23676
157003ba30
hex474cab48

1196206920 has 128 divisors (see below), whose sum is σ = 4116096000. Its totient is φ = 308689920.

The previous prime is 1196206909. The next prime is 1196206969. The reversal of 1196206920 is 296026911.

1196206920 is a `hidden beast` number, since 1 + 1 + 9 + 620 + 6 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15616 + ... + 51344.

It is an arithmetic number, because the mean of its divisors is an integer number (32157000).

Almost surely, 21196206920 is an apocalyptic number.

1196206920 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 1196206920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058048000).

1196206920 is an abundant number, since it is smaller than the sum of its proper divisors (2919889080).

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

1196206920 is a wasteful number, since it uses less digits than its factorization.

1196206920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35780 (or 35770 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1196206920 is about 34586.2244253402. The cubic root of 1196206920 is about 1061.5377349130.

Subtracting from 1196206920 its reverse (296026911), we obtain a square (900180009 = 300032).

The spelling of 1196206920 in words is "one billion, one hundred ninety-six million, two hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 35729 71458 107187 142916 178645 214374 285832 321561 357290 428748 535935 643122 714580 857496 964683 1071870 1107599 1286244 1429160 1607805 1929366 2143740 2215198 2572488 3215610 3322797 3858732 4287480 4430396 4823415 5537995 6431220 6645594 7717464 8860792 9646830 9968391 11075990 12862440 13291188 16613985 19293660 19936782 22151980 26582376 29905173 33227970 38587320 39873564 44303960 49841955 59810346 66455940 79747128 99683910 119620692 132911880 149525865 199367820 239241384 299051730 398735640 598103460 1196206920