Search a number
-
+
19123884 = 22331353257
BaseRepresentation
bin100100011110…
…0111010101100
31022222121001000
41020330322230
514343431014
61521520300
7321356523
oct110747254
938877030
1019123884
11a88206a
1264a3090
133c67710
14277b4ba
151a2b509
hex123ceac

19123884 has 96 divisors (see below), whose sum is σ = 54613440. Its totient is φ = 5750784.

The previous prime is 19123859. The next prime is 19123889. The reversal of 19123884 is 48832191.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19123889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74284 + ... + 74540.

It is an arithmetic number, because the mean of its divisors is an integer number (568890).

Almost surely, 219123884 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 19123884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306720).

19123884 is an abundant number, since it is smaller than the sum of its proper divisors (35489556).

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

19123884 is a wasteful number, since it uses less digits than its factorization.

19123884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 19123884 is about 4373.0863243252. The cubic root of 19123884 is about 267.4188603006.

The spelling of 19123884 in words is "nineteen million, one hundred twenty-three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 257 318 351 468 477 514 636 689 702 771 954 1028 1378 1404 1431 1542 1908 2067 2313 2756 2862 3084 3341 4134 4626 5724 6201 6682 6939 8268 9252 10023 12402 13364 13621 13878 18603 20046 24804 27242 27756 30069 37206 40092 40863 54484 60138 74412 81726 90207 120276 122589 163452 177073 180414 245178 354146 360828 367767 490356 531219 708292 735534 1062438 1471068 1593657 2124876 3187314 4780971 6374628 9561942 19123884