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9697968 = 243471069
BaseRepresentation
bin100100111111…
…101010110000
3200020201010000
4210333222300
54440313333
6543510000
7145300650
oct44775260
920221100
109697968
115524255
1232b8300
132017257
141406360
15cb8713
hex93fab0

9697968 has 100 divisors (see below), whose sum is σ = 32108560. Its totient is φ = 2768256.

The previous prime is 9697967. The next prime is 9697979. The reversal of 9697968 is 8697969.

9697968 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 94 + 62 + 97 + 76 + 97 + 65 + 8 .

It is not an unprimeable number, because it can be changed into a prime (9697967) 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 19 ways as a sum of consecutive naturals, for example, 8538 + ... + 9606.

Almost surely, 29697968 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 9697968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054280).

9697968 is an abundant number, since it is smaller than the sum of its proper divisors (22410592).

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

9697968 is a wasteful number, since it uses less digits than its factorization.

9697968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 9697968 is about 3114.1560654534. The cubic root of 9697968 is about 213.2522304558.

Subtracting from 9697968 its reverse (8697969), we obtain a palindrome (999999).

The spelling of 9697968 in words is "nine million, six hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1069 1134 1296 1512 2138 2268 3024 3207 4276 4536 6414 7483 8552 9072 9621 12828 14966 17104 19242 22449 25656 28863 29932 38484 44898 51312 57726 59864 67347 76968 86589 89796 115452 119728 134694 153936 173178 179592 202041 230904 269388 346356 359184 404082 461808 538776 606123 692712 808164 1077552 1212246 1385424 1616328 2424492 3232656 4848984 9697968