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96630120 = 23325475711
BaseRepresentation
bin1011100001001…
…11010101101000
320201211022121100
411300213111220
5144214130440
613331041400
72252225316
oct560472550
9221738540
1096630120
114a5aa704
1228440260
13170339b2
14cb950b6
15873b230
hex5c27568

96630120 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 25215360.

The previous prime is 96630119. The next prime is 96630133. The reversal of 96630120 is 2103669.

It is a happy number.

96630120 is a `hidden beast` number, since 9 + 6 + 630 + 1 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14065 + ... + 19775.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 296630120 is an apocalyptic number.

96630120 is a gapful number since it is divisible by the number (90) 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 96630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

96630120 is an abundant number, since it is smaller than the sum of its proper divisors (224155800).

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

96630120 is a wasteful number, since it uses less digits than its factorization.

96630120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 96630120 is about 9830.0620547380. The cubic root of 96630120 is about 458.8853288379.

Adding to 96630120 its reverse (2103669), we get a palindrome (98733789).

The spelling of 96630120 in words is "ninety-six million, six hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 5711 8460 11422 16920 17133 22844 28555 34266 45688 51399 57110 68532 85665 102798 114220 137064 171330 205596 228440 256995 268417 342660 411192 513990 536834 685320 805251 1027980 1073668 1342085 1610502 2055960 2147336 2415753 2684170 3221004 4026255 4831506 5368340 6442008 8052510 9663012 10736680 12078765 16105020 19326024 24157530 32210040 48315060 96630120