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96000320 = 2651347491
BaseRepresentation
bin1011011100011…
…01100101000000
320200122022200102
411232031211000
5144034002240
613305341532
72243663213
oct556154500
9220568612
1096000320
114a20a509
12281978a8
1316b73130
14ca6d77a
158664815
hex5b8d940

96000320 has 112 divisors (see below), whose sum is σ = 251935488. Its totient is φ = 34621440.

The previous prime is 96000313. The next prime is 96000349. The reversal of 96000320 is 2300069.

It is a happy number.

It is a super-2 number, since 2×960003202 = 18432122880204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 96000292 and 96000301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195275 + ... + 195765.

It is an arithmetic number, because the mean of its divisors is an integer number (2249424).

Almost surely, 296000320 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 96000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125967744).

96000320 is an abundant number, since it is smaller than the sum of its proper divisors (155935168).

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

96000320 is a wasteful number, since it uses less digits than its factorization.

96000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 96000320 is about 9797.9753010507. The cubic root of 96000320 is about 457.8862057827.

Adding to 96000320 its reverse (2300069), we get a palindrome (98300389).

The spelling of 96000320 in words is "ninety-six million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 64 65 80 94 104 130 160 188 208 235 260 320 376 416 470 491 520 611 752 832 940 982 1040 1222 1504 1880 1964 2080 2444 2455 3008 3055 3760 3928 4160 4888 4910 6110 6383 7520 7856 9776 9820 12220 12766 15040 15712 19552 19640 23077 24440 25532 31424 31915 39104 39280 46154 48880 51064 63830 78560 92308 97760 102128 115385 127660 157120 184616 195520 204256 230770 255320 300001 369232 408512 461540 510640 600002 738464 923080 1021280 1200004 1476928 1500005 1846160 2042560 2400008 3000010 3692320 4800016 6000020 7384640 9600032 12000040 19200064 24000080 48000160 96000320