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96630600 = 23352115
BaseRepresentation
bin1011100001001…
…11011101001000
320201211100021010
411300213131020
5144214134400
613331043520
72252226603
oct560473510
9221740233
1096630600
114a600000
12284405a0
1317033c91
14cb9533a
15873b450
hex5c27748

96630600 has 144 divisors (see below), whose sum is σ = 329510160. Its totient is φ = 23425600.

The previous prime is 96630559. The next prime is 96630623. The reversal of 96630600 is 603669.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 8784595 + ... + 8784605.

It is an arithmetic number, because the mean of its divisors is an integer number (2288265).

Almost surely, 296630600 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 96630600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164755080).

96630600 is an abundant number, since it is smaller than the sum of its proper divisors (232879560).

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

96630600 is an equidigital number, since it uses as much as digits as its factorization.

96630600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 96630600 is about 9830.0864696095. The cubic root of 96630600 is about 458.8860886582.

The spelling of 96630600 in words is "ninety-six million, six hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1331 1452 1650 1815 2200 2420 2662 2904 3025 3300 3630 3993 4840 5324 6050 6600 6655 7260 7986 9075 10648 12100 13310 14520 14641 15972 18150 19965 24200 26620 29282 31944 33275 36300 39930 43923 53240 58564 66550 72600 73205 79860 87846 99825 117128 133100 146410 159720 161051 175692 199650 219615 266200 292820 322102 351384 366025 399300 439230 483153 585640 644204 732050 798600 805255 878460 966306 1098075 1288408 1464100 1610510 1756920 1932612 2196150 2415765 2928200 3221020 3865224 4026275 4392300 4831530 6442040 8052550 8784600 9663060 12078825 16105100 19326120 24157650 32210200 48315300 96630600