Search a number
-
+
84123468 = 223311132419
BaseRepresentation
bin1010000001110…
…01111101001100
312212021220201000
411000321331030
5133013422333
612203020300
72041015632
oct500717514
9185256630
1084123468
1143538230
122420a690
1314575200
14b25b352
1575ba713
hex5039f4c

84123468 has 144 divisors (see below), whose sum is σ = 258249600. Its totient is φ = 23474880.

The previous prime is 84123449. The next prime is 84123493. The reversal of 84123468 is 86432148.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200563 + ... + 200981.

It is an arithmetic number, because the mean of its divisors is an integer number (1793400).

Almost surely, 284123468 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 84123468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129124800).

84123468 is an abundant number, since it is smaller than the sum of its proper divisors (174126132).

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

84123468 is a wasteful number, since it uses less digits than its factorization.

84123468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 448 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 84123468 is about 9171.8846482062. The cubic root of 84123468 is about 438.1663845257.

The spelling of 84123468 in words is "eighty-four million, one hundred twenty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 169 198 234 286 297 338 351 396 419 429 468 507 572 594 676 702 838 858 1014 1188 1257 1287 1404 1521 1676 1716 1859 2028 2514 2574 3042 3718 3771 3861 4563 4609 5028 5148 5447 5577 6084 7436 7542 7722 9126 9218 10894 11154 11313 13827 15084 15444 16341 16731 18252 18436 21788 22308 22626 27654 32682 33462 41481 45252 49023 50193 55308 59917 65364 66924 70811 82962 98046 100386 119834 124443 141622 147069 165924 179751 196092 200772 212433 239668 248886 283244 294138 359502 424866 497772 539253 588276 637299 719004 778921 849732 1078506 1274598 1557842 1617759 1911897 2157012 2336763 2549196 3115684 3235518 3823794 4673526 6471036 7010289 7647588 9347052 14020578 21030867 28041156 42061734 84123468