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9691968 = 2631113353
BaseRepresentation
bin100100111110…
…001101000000
3200020101212210
4210332031000
54440120333
6543422120
7145244316
oct44761500
920211783
109691968
11551a7a0
1232b4940
1320145c0
1414040b6
15cb6a63
hex93e340

9691968 has 112 divisors (see below), whose sum is σ = 30211776. Its totient is φ = 2703360.

The previous prime is 9691963. The next prime is 9691987. The reversal of 9691968 is 8691969.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9691963) 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, 27280 + ... + 27632.

It is an arithmetic number, because the mean of its divisors is an integer number (269748).

Almost surely, 29691968 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 9691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105888).

9691968 is an abundant number, since it is smaller than the sum of its proper divisors (20519808).

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

9691968 is a wasteful number, since it uses less digits than its factorization.

9691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 9691968 is about 3113.1925735489. The cubic root of 9691968 is about 213.2082426380.

Subtracting from 9691968 its reverse (8691969), we obtain a palindrome (999999).

The spelling of 9691968 in words is "nine million, six hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 353 416 429 528 572 624 704 706 832 858 1056 1059 1144 1248 1412 1716 2112 2118 2288 2496 2824 3432 3883 4236 4576 4589 5648 6864 7766 8472 9152 9178 11296 11649 13728 13767 15532 16944 18356 22592 23298 27456 27534 31064 33888 36712 46596 50479 55068 62128 67776 73424 93192 100958 110136 124256 146848 151437 186384 201916 220272 248512 293696 302874 372768 403832 440544 605748 745536 807664 881088 1211496 1615328 2422992 3230656 4845984 9691968