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96625320 = 233511711031
BaseRepresentation
bin1011100001001…
…10001010101000
320201211002000120
411300212022220
5144214002240
613331003240
72252205321
oct560461250
9221732016
1096625320
114a5a7040
1228439520
131703175c
14cb93448
158739ad0
hex5c262a8

96625320 has 128 divisors (see below), whose sum is σ = 320993280. Its totient is φ = 23072000.

The previous prime is 96625313. The next prime is 96625327. The reversal of 96625320 is 2352669.

It is an interprime number because it is at equal distance from previous prime (96625313) and next prime (96625327).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (96625327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93205 + ... + 94235.

It is an arithmetic number, because the mean of its divisors is an integer number (2507760).

Almost surely, 296625320 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 96625320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160496640).

96625320 is an abundant number, since it is smaller than the sum of its proper divisors (224367960).

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

96625320 is a wasteful number, since it uses less digits than its factorization.

96625320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 96625320 is about 9829.8179026877. The cubic root of 96625320 is about 458.8777304960.

Adding to 96625320 its reverse (2352669), we get a palindrome (98977989).

The spelling of 96625320 in words is "ninety-six million, six hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1031 1065 1320 1420 1562 1704 2062 2130 2343 2840 3093 3124 3905 4124 4260 4686 5155 6186 6248 7810 8248 8520 9372 10310 11341 11715 12372 15465 15620 18744 20620 22682 23430 24744 30930 31240 34023 41240 45364 46860 56705 61860 68046 73201 90728 93720 113410 123720 136092 146402 170115 219603 226820 272184 292804 340230 366005 439206 453640 585608 680460 732010 805211 878412 1098015 1360920 1464020 1610422 1756824 2196030 2415633 2928040 3220844 4026055 4392060 4831266 6441688 8052110 8784120 9662532 12078165 16104220 19325064 24156330 32208440 48312660 96625320