Search a number
-
+
104066442 = 232293159109
BaseRepresentation
bin1100011001111…
…10110110001010
321020211010022200
412030332312022
5203120111232
614154301030
72402356464
oct614766612
9236733280
10104066442
1153819727
122aa27776
131873869c
14db6d134
15920977c
hex633ed8a

104066442 has 96 divisors (see below), whose sum is σ = 247104000. Its totient is φ = 31570560.

The previous prime is 104066441. The next prime is 104066489. The reversal of 104066442 is 244660401.

104066442 is a `hidden beast` number, since 10 + 4 + 0 + 6 + 644 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (104066441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954684 + ... + 954792.

It is an arithmetic number, because the mean of its divisors is an integer number (2574000).

Almost surely, 2104066442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104066442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123552000).

104066442 is an abundant number, since it is smaller than the sum of its proper divisors (143037558).

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

104066442 is a wasteful number, since it uses less digits than its factorization.

104066442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104066442 is about 10201.2960941245. The cubic root of 104066442 is about 470.3670619811.

The spelling of 104066442 in words is "one hundred four million, sixty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 31 58 59 62 87 93 109 118 174 177 186 218 261 279 327 354 522 531 558 654 899 981 1062 1711 1798 1829 1962 2697 3161 3379 3422 3658 5133 5394 5487 6322 6431 6758 8091 9483 10137 10266 10974 12862 15399 16182 16461 18966 19293 20274 28449 30411 30798 32922 38586 53041 56898 57879 60822 97991 106082 115758 159123 186499 195982 199361 293973 318246 372998 398722 477369 559497 587946 598083 881919 954738 1118994 1196166 1678491 1763838 1794249 3356982 3588498 5781469 11562938 17344407 34688814 52033221 104066442