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9668120 = 2357114373
BaseRepresentation
bin100100111000…
…011000011000
3200012012011112
4210320120120
54433334440
6543115452
7145114640
oct44703030
920165145
109668120
115503890
1232a2b88
1320067a7
1413d9520
15cae965
hex938618

9668120 has 128 divisors (see below), whose sum is σ = 28131840. Its totient is φ = 2903040.

The previous prime is 9668117. The next prime is 9668123. The reversal of 9668120 is 218669.

It is an interprime number because it is at equal distance from previous prime (9668117) and next prime (9668123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9668123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132404 + ... + 132476.

It is an arithmetic number, because the mean of its divisors is an integer number (219780).

Almost surely, 29668120 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 9668120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065920).

9668120 is an abundant number, since it is smaller than the sum of its proper divisors (18463720).

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

9668120 is a wasteful number, since it uses less digits than its factorization.

9668120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 9668120 is about 3109.3600627782. The cubic root of 9668120 is about 213.0332260246.

The spelling of 9668120 in words is "nine million, six hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 43 44 55 56 70 73 77 86 88 110 140 146 154 172 215 220 280 292 301 308 344 365 385 430 440 473 511 584 602 616 730 770 803 860 946 1022 1204 1460 1505 1540 1606 1720 1892 2044 2365 2408 2555 2920 3010 3080 3139 3212 3311 3784 4015 4088 4730 5110 5621 6020 6278 6424 6622 8030 9460 10220 11242 12040 12556 13244 15695 16060 16555 18920 20440 21973 22484 25112 26488 28105 31390 32120 33110 34529 43946 44968 56210 62780 66220 69058 87892 109865 112420 125560 132440 138116 172645 175784 219730 224840 241703 276232 345290 439460 483406 690580 878920 966812 1208515 1381160 1933624 2417030 4834060 9668120