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9117696 = 2133753
BaseRepresentation
bin100010110010…
…000000000000
3122011020010110
4202302000000
54313231241
6523231320
7140333130
oct42620000
918136113
109117696
115168295
123078540
131b730b3
1412d4ac0
15c01816
hex8b2000

9117696 has 112 divisors (see below), whose sum is σ = 28309824. Its totient is φ = 2555904.

The previous prime is 9117679. The next prime is 9117697. The reversal of 9117696 is 6967119.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (9117697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172006 + ... + 172058.

Almost surely, 29117696 is an apocalyptic number.

9117696 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 9117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154912).

9117696 is an abundant number, since it is smaller than the sum of its proper divisors (19192128).

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

9117696 is an equidigital number, since it uses as much as digits as its factorization.

9117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its digits is 20412, while the sum is 39.

The square root of 9117696 is about 3019.5522846939. The cubic root of 9117696 is about 208.9111898797.

The spelling of 9117696 in words is "nine million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 512 636 672 742 768 848 896 1024 1113 1272 1344 1484 1536 1696 1792 2048 2226 2544 2688 2968 3072 3392 3584 4096 4452 5088 5376 5936 6144 6784 7168 8192 8904 10176 10752 11872 12288 13568 14336 17808 20352 21504 23744 24576 27136 28672 35616 40704 43008 47488 54272 57344 71232 81408 86016 94976 108544 142464 162816 172032 189952 217088 284928 325632 379904 434176 569856 651264 759808 1139712 1302528 1519616 2279424 3039232 4558848 9117696