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9861696 = 263313439
BaseRepresentation
bin100101100111…
…101001000000
3200120000201000
4211213221000
510011033241
6551212000
7146552205
oct45475100
920500630
109861696
115626269
123377000
132073930
141449cac
15cebeb6
hex967a40

9861696 has 112 divisors (see below), whose sum is σ = 31292800. Its totient is φ = 3027456.

The previous prime is 9861679. The next prime is 9861697. The reversal of 9861696 is 6961689.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9861697) 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, 22245 + ... + 22683.

It is an arithmetic number, because the mean of its divisors is an integer number (279400).

Almost surely, 29861696 is an apocalyptic number.

9861696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646400).

9861696 is an abundant number, since it is smaller than the sum of its proper divisors (21431104).

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

9861696 is a wasteful number, since it uses less digits than its factorization.

9861696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9861696 is about 3140.3337402257. Note that the first 3 decimals coincide. The cubic root of 9861696 is about 214.4456314844.

The spelling of 9861696 in words is "nine million, eight hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 439 468 576 624 702 832 864 878 936 1248 1317 1404 1728 1756 1872 2496 2634 2808 3512 3744 3951 5268 5616 5707 7024 7488 7902 10536 11232 11414 11853 14048 15804 17121 21072 22464 22828 23706 28096 31608 34242 42144 45656 47412 51363 63216 68484 84288 91312 94824 102726 126432 136968 154089 182624 189648 205452 252864 273936 308178 365248 379296 410904 547872 616356 758592 821808 1095744 1232712 1643616 2465424 3287232 4930848 9861696