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84066012 = 22342329389
BaseRepresentation
bin1010000001010…
…11111011011100
312212011222220000
411000223323130
5133010103022
612201454300
72040356262
oct500537334
9185158800
1084066012
11434a9048
12241a1390
1314555004
14b244432
1575a86ac
hex502bedc

84066012 has 120 divisors (see below), whose sum is σ = 237837600. Its totient is φ = 25812864.

The previous prime is 84065981. The next prime is 84066019. The reversal of 84066012 is 21066048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84066019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215914 + ... + 216302.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 284066012 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 84066012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118918800).

84066012 is an abundant number, since it is smaller than the sum of its proper divisors (153771588).

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

84066012 is a wasteful number, since it uses less digits than its factorization.

84066012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

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

The square root of 84066012 is about 9168.7519325151. The cubic root of 84066012 is about 438.0666064967.

The spelling of 84066012 in words is "eighty-four million, sixty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 81 87 92 108 116 138 162 174 207 261 276 324 348 389 414 522 621 667 778 783 828 1044 1167 1242 1334 1556 1566 1863 2001 2334 2349 2484 2668 3132 3501 3726 4002 4668 4698 6003 7002 7452 8004 8947 9396 10503 11281 12006 14004 17894 18009 21006 22562 24012 26841 31509 33843 35788 36018 42012 45124 53682 54027 63018 67686 72036 80523 101529 107364 108054 126036 135372 161046 203058 216108 241569 259463 304587 322092 406116 483138 518926 609174 724707 778389 913761 966276 1037852 1218348 1449414 1556778 1827522 2335167 2898828 3113556 3655044 4670334 7005501 9340668 14011002 21016503 28022004 42033006 84066012