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196815984 = 24319673221
BaseRepresentation
bin10111011101100…
…10110001110000
3111201100021202220
423232302301300
5400341102414
631310241040
74606623351
oct1356626160
9451307686
10196815984
11a1108842
1255ab6180
1331a10c81
141c1d3d28
151242aca9
hexbbb2c70

196815984 has 80 divisors (see below), whose sum is σ = 543358080. Its totient is φ = 61205760.

The previous prime is 196815943. The next prime is 196815989. The reversal of 196815984 is 489518691.

196815984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196815989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59494 + ... + 62714.

It is an arithmetic number, because the mean of its divisors is an integer number (6791976).

Almost surely, 2196815984 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 196815984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271679040).

196815984 is an abundant number, since it is smaller than the sum of its proper divisors (346542096).

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

196815984 is a wasteful number, since it uses less digits than its factorization.

196815984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3312 counting only the distinct ones).

The product of its digits is 622080, while the sum is 51.

The square root of 196815984 is about 14029.1120175156. The cubic root of 196815984 is about 581.6835586847.

The spelling of 196815984 in words is "one hundred ninety-six million, eight hundred fifteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 402 456 536 804 912 1072 1273 1608 2546 3216 3221 3819 5092 6442 7638 9663 10184 12884 15276 19326 20368 25768 30552 38652 51536 61104 61199 77304 122398 154608 183597 215807 244796 367194 431614 489592 647421 734388 863228 979184 1294842 1468776 1726456 2589684 2937552 3452912 4100333 5179368 8200666 10358736 12300999 16401332 24601998 32802664 49203996 65605328 98407992 196815984