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96990080 = 2751123599
BaseRepresentation
bin1011100011111…
…11001110000000
320202111121101012
411301333032000
5144312140310
613342500052
72255254625
oct561771600
9222447335
1096990080
114a8260a0
1228594628
131712b7a5
14cc4a34c
1587acc05
hex5c7f380

96990080 has 128 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 33679360.

The previous prime is 96990077. The next prime is 96990097. The reversal of 96990080 is 8009969.

It is a tau number, because it is divible by the number of its divisors (128).

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, 161621 + ... + 162219.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 296990080 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 96990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

96990080 is an abundant number, since it is smaller than the sum of its proper divisors (167393920).

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

96990080 is a wasteful number, since it uses less digits than its factorization.

96990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 96990080 is about 9848.3541772217. The cubic root of 96990080 is about 459.4544256514.

The spelling of 96990080 in words is "ninety-six million, nine hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 320 352 368 440 460 506 599 640 704 736 880 920 1012 1198 1265 1408 1472 1760 1840 2024 2396 2530 2944 2995 3520 3680 4048 4792 5060 5990 6589 7040 7360 8096 9584 10120 11980 13178 13777 14720 16192 19168 20240 23960 26356 27554 32384 32945 38336 40480 47920 52712 55108 65890 68885 76672 80960 95840 105424 110216 131780 137770 151547 161920 191680 210848 220432 263560 275540 303094 383360 421696 440864 527120 551080 606188 757735 843392 881728 1054240 1102160 1212376 1515470 1763456 2108480 2204320 2424752 3030940 4216960 4408640 4849504 6061880 8817280 9699008 12123760 19398016 24247520 48495040 96990080