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84016296 = 233271312823
BaseRepresentation
bin1010000000111…
…11110010101000
312212002110200200
411000133302220
5133002010141
612200432200
72040061320
oct500376250
9185073620
1084016296
1143474761
1224178660
13145384b0
14b230280
157598ab6
hex501fca8

84016296 has 96 divisors (see below), whose sum is σ = 280076160. Its totient is φ = 22156416.

The previous prime is 84016253. The next prime is 84016297. The reversal of 84016296 is 69261048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84016296.

It is not an unprimeable number, because it can be changed into a prime (84016297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141 + ... + 12963.

It is an arithmetic number, because the mean of its divisors is an integer number (2917460).

Almost surely, 284016296 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 84016296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140038080).

84016296 is an abundant number, since it is smaller than the sum of its proper divisors (196059864).

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

84016296 is a wasteful number, since it uses less digits than its factorization.

84016296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12855 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 84016296 is about 9166.0403664832. The cubic root of 84016296 is about 437.9802330480.

The spelling of 84016296 in words is "eighty-four million, sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 12823 25646 38469 51292 76938 89761 102584 115407 153876 166699 179522 230814 269283 307752 333398 359044 461628 500097 538566 666796 718088 807849 923256 1000194 1077132 1166893 1333592 1500291 1615698 2000388 2154264 2333786 3000582 3231396 3500679 4000776 4667572 6001164 6462792 7001358 9335144 10502037 12002328 14002716 21004074 28005432 42008148 84016296