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84060216 = 23322322207
BaseRepresentation
bin1010000001010…
…10100000111000
312212011200221100
411000222200320
5133004411331
612201411400
72040333342
oct500524070
9185150840
1084060216
11434a4759
1224199b60
1314552496
14b242292
1575a6ae6
hex502a838

84060216 has 72 divisors (see below), whose sum is σ = 238099680. Its totient is φ = 26789664.

The previous prime is 84060203. The next prime is 84060217. The reversal of 84060216 is 61206048.

84060216 is a `hidden beast` number, since 8 + 40 + 602 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×840602162 = 14132239827933312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84060216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84060217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36985 + ... + 39191.

It is an arithmetic number, because the mean of its divisors is an integer number (3306940).

Almost surely, 284060216 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 84060216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119049840).

84060216 is an abundant number, since it is smaller than the sum of its proper divisors (154039464).

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

84060216 is a wasteful number, since it uses less digits than its factorization.

84060216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 84060216 is about 9168.4358535139. The cubic root of 84060216 is about 438.0565386450.

The spelling of 84060216 in words is "eighty-four million, sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 2207 3174 4232 4414 4761 6348 6621 8828 9522 12696 13242 17656 19044 19863 26484 38088 39726 50761 52968 79452 101522 152283 158904 203044 304566 406088 456849 609132 913698 1167503 1218264 1827396 2335006 3502509 3654792 4670012 7005018 9340024 10507527 14010036 21015054 28020072 42030108 84060216