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84475320 = 233523127241
BaseRepresentation
bin1010000100011…
…11110110111000
312212221210100120
411002033312320
5133111202240
612214333240
72044012506
oct502176670
9185853316
1084475320
1143758616
122435a220
13146693c7
14b30d676
157639ad0
hex508fdb8

84475320 has 128 divisors (see below), whose sum is σ = 267632640. Its totient is φ = 21288960.

The previous prime is 84475319. The next prime is 84475357. The reversal of 84475320 is 2357448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350400 + ... + 350640.

It is an arithmetic number, because the mean of its divisors is an integer number (2090880).

Almost surely, 284475320 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 84475320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133816320).

84475320 is an abundant number, since it is smaller than the sum of its proper divisors (183157320).

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

84475320 is a wasteful number, since it uses less digits than its factorization.

84475320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 84475320 is about 9191.0456423630. The cubic root of 84475320 is about 438.7764214898.

The spelling of 84475320 in words is "eighty-four million, four hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 127 138 184 230 241 254 276 345 381 460 482 508 552 635 690 723 762 920 964 1016 1205 1270 1380 1446 1524 1905 1928 2410 2540 2760 2892 2921 3048 3615 3810 4820 5080 5543 5784 5842 7230 7620 8763 9640 11086 11684 14460 14605 15240 16629 17526 22172 23368 27715 28920 29210 30607 33258 35052 43815 44344 55430 58420 61214 66516 70104 83145 87630 91821 110860 116840 122428 133032 153035 166290 175260 183642 221720 244856 306070 332580 350520 367284 459105 612140 665160 703961 734568 918210 1224280 1407922 1836420 2111883 2815844 3519805 3672840 4223766 5631688 7039610 8447532 10559415 14079220 16895064 21118830 28158440 42237660 84475320