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196788768 = 25311331563
BaseRepresentation
bin10111011101011…
…00001000100000
3111201021220102220
423232230020200
5400334220033
631305511040
74606451121
oct1356541040
9451256386
10196788768
11a109a350
1255aa2480
1331a01777
141c1c8048
1512422bb3
hexbbac220

196788768 has 96 divisors (see below), whose sum is σ = 566237952. Its totient is φ = 59347200.

The previous prime is 196788749. The next prime is 196788773. The reversal of 196788768 is 867887691.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349255 + ... + 349817.

It is an arithmetic number, because the mean of its divisors is an integer number (5898312).

Almost surely, 2196788768 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 196788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283118976).

196788768 is an abundant number, since it is smaller than the sum of its proper divisors (369449184).

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

196788768 is a wasteful number, since it uses less digits than its factorization.

196788768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 910 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 60.

The square root of 196788768 is about 14028.1420009921. The cubic root of 196788768 is about 581.6567454331.

It can be divided in two parts, 1 and 96788768, that added together give a palindrome (96788769).

The spelling of 196788768 in words is "one hundred ninety-six million, seven hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 331 352 528 563 662 993 1056 1126 1324 1689 1986 2252 2648 3378 3641 3972 4504 5296 6193 6756 7282 7944 9008 10592 10923 12386 13512 14564 15888 18016 18579 21846 24772 27024 29128 31776 37158 43692 49544 54048 58256 74316 87384 99088 116512 148632 174768 186353 198176 297264 349536 372706 559059 594528 745412 1118118 1490824 2049883 2236236 2981648 4099766 4472472 5963296 6149649 8199532 8944944 12299298 16399064 17889888 24598596 32798128 49197192 65596256 98394384 196788768