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84360512 = 2697107127
BaseRepresentation
bin1010000011100…
…11110101000000
312212201221212102
411001303311000
5133044014022
612212045532
72043024005
oct501636500
9185657772
1084360512
114368a335
12243038a8
1314629082
14b2bd8ac
157615a92
hex5073d40

84360512 has 56 divisors (see below), whose sum is σ = 172053504. Its totient is φ = 41029632.

The previous prime is 84360503. The next prime is 84360541. The reversal of 84360512 is 21506348.

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 7 ways as a sum of consecutive naturals, for example, 664193 + ... + 664319.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 284360512 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 84360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86026752).

84360512 is an abundant number, since it is smaller than the sum of its proper divisors (87692992).

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

84360512 is a wasteful number, since it uses less digits than its factorization.

84360512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 84360512 is about 9184.7978747493. The cubic root of 84360512 is about 438.5775551948.

The spelling of 84360512 in words is "eighty-four million, three hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 107 127 194 214 254 388 428 508 776 856 1016 1552 1712 2032 3104 3424 4064 6208 6848 8128 10379 12319 13589 20758 24638 27178 41516 49276 54356 83032 98552 108712 166064 197104 217424 332128 394208 434848 664256 788416 869696 1318133 2636266 5272532 10545064 21090128 42180256 84360512