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84104514 = 23313235209
BaseRepresentation
bin1010000001101…
…01010101000010
312212020221201000
411000311111002
5133012321024
612202352430
72040606444
oct500652502
9185227630
1084104514
1143524a6a
12241bb716
13145696b0
14b254494
1575b4cc9
hex5035542

84104514 has 64 divisors (see below), whose sum is σ = 210067200. Its totient is φ = 24748416.

The previous prime is 84104513. The next prime is 84104521. The reversal of 84104514 is 41540148.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (84104513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13542 + ... + 18750.

It is an arithmetic number, because the mean of its divisors is an integer number (3282300).

Almost surely, 284104514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84104514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105033600).

84104514 is an abundant number, since it is smaller than the sum of its proper divisors (125962686).

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

84104514 is a wasteful number, since it uses less digits than its factorization.

84104514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 84104514 is about 9170.8513236231. The cubic root of 84104514 is about 438.1334740523.

The spelling of 84104514 in words is "eighty-four million, one hundred four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 5209 5382 8073 10418 15627 16146 31254 46881 67717 93762 119807 135434 140643 203151 239614 281286 359421 406302 609453 718842 1078263 1218906 1557491 1828359 2156526 3114982 3234789 3656718 4672473 6469578 9344946 14017419 28034838 42052257 84104514