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84316080 = 24351133109
BaseRepresentation
bin1010000011010…
…00111110110000
312212122200220210
411001220332300
5133041103310
612211104120
72042450322
oct501507660
9185580823
1084316080
1143659a12
12242a2040
1314611a94
14b2ab612
157607820
hex5068fb0

84316080 has 80 divisors (see below), whose sum is σ = 263777760. Its totient is φ = 22278144.

The previous prime is 84316069. The next prime is 84316087. The reversal of 84316080 is 8061348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (84316087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25566 + ... + 28674.

It is an arithmetic number, because the mean of its divisors is an integer number (3297222).

Almost surely, 284316080 is an apocalyptic number.

84316080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131888880).

84316080 is an abundant number, since it is smaller than the sum of its proper divisors (179461680).

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

84316080 is a wasteful number, since it uses less digits than its factorization.

84316080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 84316080 is about 9182.3787767659. The cubic root of 84316080 is about 438.5005432545.

The spelling of 84316080 in words is "eighty-four million, three hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3109 3390 4520 5424 6218 6780 9040 9327 12436 13560 15545 18654 24872 27120 31090 37308 46635 49744 62180 74616 93270 124360 149232 186540 248720 351317 373080 702634 746160 1053951 1405268 1756585 2107902 2810536 3513170 4215804 5269755 5621072 7026340 8431608 10539510 14052680 16863216 21079020 28105360 42158040 84316080