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84142146 = 231117193947
BaseRepresentation
bin1010000001111…
…10100001000010
312212022212022210
411000332201002
5133020022041
612203242550
72041124244
oct500764102
9185285283
1084142146
1143550270
1224219456
131458086a
14b264094
1575c1016
hex503e842

84142146 has 64 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 22728960.

The previous prime is 84142133. The next prime is 84142187. The reversal of 84142146 is 64124148.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19345 + ... + 23291.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 284142146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84142146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

84142146 is an abundant number, since it is smaller than the sum of its proper divisors (120522174).

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

84142146 is a wasteful number, since it uses less digits than its factorization.

84142146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999.

The product of its digits is 6144, while the sum is 30.

The square root of 84142146 is about 9172.9028120873. The cubic root of 84142146 is about 438.1988109354.

The spelling of 84142146 in words is "eighty-four million, one hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1254 1938 3553 3947 7106 7894 10659 11841 21318 23682 43417 67099 74993 86834 130251 134198 149986 201297 224979 260502 402594 449958 738089 824923 1274881 1476178 1649846 2214267 2474769 2549762 3824643 4428534 4949538 7649286 14023691 28047382 42071073 84142146