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84061080 = 23325239977
BaseRepresentation
bin1010000001010…
…10101110011000
312212011202010100
411000222232120
5133004423310
612201415400
72040336015
oct500525630
9185152110
1084061080
11434a5374
122419a560
13145529ac
14b24270c
1575a6ec0
hex502ab98

84061080 has 96 divisors (see below), whose sum is σ = 274622400. Its totient is φ = 22299648.

The previous prime is 84061069. The next prime is 84061093. The reversal of 84061080 is 8016048.

84061080 is a `hidden beast` number, since 8 + 40 + 610 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 85552 + ... + 86528.

It is an arithmetic number, because the mean of its divisors is an integer number (2860650).

Almost surely, 284061080 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 84061080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137311200).

84061080 is an abundant number, since it is smaller than the sum of its proper divisors (190561320).

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

84061080 is a wasteful number, since it uses less digits than its factorization.

84061080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 84061080 is about 9168.4829715717. The cubic root of 84061080 is about 438.0580394722.

The spelling of 84061080 in words is "eighty-four million, sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 956 977 1195 1434 1912 1954 2151 2390 2868 2931 3585 3908 4302 4780 4885 5736 5862 7170 7816 8604 8793 9560 9770 10755 11724 14340 14655 17208 17586 19540 21510 23448 28680 29310 35172 39080 43020 43965 58620 70344 86040 87930 117240 175860 233503 351720 467006 700509 934012 1167515 1401018 1868024 2101527 2335030 2802036 3502545 4203054 4670060 5604072 7005090 8406108 9340120 10507635 14010180 16812216 21015270 28020360 42030540 84061080