Search a number
-
+
9915696 = 243471093
BaseRepresentation
bin100101110100…
…110100110000
3200122202210000
4211310310300
510014300241
6552310000
7150165510
oct45646460
920582700
109915696
11566289a
1233a2300
13209239b
141461840
15d0ceb6
hex974d30

9915696 has 100 divisors (see below), whose sum is σ = 32828752. Its totient is φ = 2830464.

The previous prime is 9915683. The next prime is 9915713. The reversal of 9915696 is 6965199.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8526 + ... + 9618.

Almost surely, 29915696 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 9915696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414376).

9915696 is an abundant number, since it is smaller than the sum of its proper divisors (22913056).

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

9915696 is a wasteful number, since it uses less digits than its factorization.

9915696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1105 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 9915696 is about 3148.9198147936. The cubic root of 9915696 is about 214.8363347916.

The spelling of 9915696 in words is "nine million, nine hundred fifteen thousand, six hundred ninety-six".

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 1093 1134 1296 1512 2186 2268 3024 3279 4372 4536 6558 7651 8744 9072 9837 13116 15302 17488 19674 22953 26232 29511 30604 39348 45906 52464 59022 61208 68859 78696 88533 91812 118044 122416 137718 157392 177066 183624 206577 236088 275436 354132 367248 413154 472176 550872 619731 708264 826308 1101744 1239462 1416528 1652616 2478924 3305232 4957848 9915696