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96533760 = 2835231093
BaseRepresentation
bin1011100000011…
…11110100000000
320201122102102110
411300033310000
5144203040020
613325015320
72251344351
oct560176400
9221572373
1096533760
114a544274
12283b4540
1316ccbb8b
14cb6bd28
15871c8e0
hex5c0fd00

96533760 has 144 divisors (see below), whose sum is σ = 322003584. Its totient is φ = 24600576.

The previous prime is 96533747. The next prime is 96533797. The reversal of 96533760 is 6733569.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87774 + ... + 88866.

It is an arithmetic number, because the mean of its divisors is an integer number (2236136).

Almost surely, 296533760 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 96533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161001792).

96533760 is an abundant number, since it is smaller than the sum of its proper divisors (225469824).

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

96533760 is a wasteful number, since it uses less digits than its factorization.

96533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 96533760 is about 9825.1595406894. The cubic root of 96533760 is about 458.7327439205.

The spelling of 96533760 in words is "ninety-six million, five hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1093 1104 1280 1380 1472 1840 1920 2186 2208 2760 2944 3279 3680 3840 4372 4416 5465 5520 5888 6558 7360 8744 8832 10930 11040 13116 14720 16395 17488 17664 21860 22080 25139 26232 29440 32790 34976 43720 44160 50278 52464 65580 69952 75417 87440 88320 100556 104928 125695 131160 139904 150834 174880 201112 209856 251390 262320 279808 301668 349760 377085 402224 419712 502780 524640 603336 699520 754170 804448 839424 1005560 1049280 1206672 1399040 1508340 1608896 2011120 2098560 2413344 3016680 3217792 4022240 4197120 4826688 6033360 6435584 8044480 9653376 12066720 16088960 19306752 24133440 32177920 48266880 96533760