Search a number
-
+
17842968 = 233211131733
BaseRepresentation
bin100010000010…
…0001100011000
31020120111221200
41010010030120
514031433333
61434234200
7304443213
oct104041430
936514850
1017842968
11a087760
125b85960
133909690
14252677a
151876c13
hex1104318

17842968 has 96 divisors (see below), whose sum is σ = 56805840. Its totient is φ = 4988160.

The previous prime is 17842967. The next prime is 17843027. The reversal of 17842968 is 86924871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17842961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9430 + ... + 11162.

Almost surely, 217842968 is an apocalyptic number.

17842968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17842968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28402920).

17842968 is an abundant number, since it is smaller than the sum of its proper divisors (38962872).

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

17842968 is a wasteful number, since it uses less digits than its factorization.

17842968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1762 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 17842968 is about 4224.0937489597. The cubic root of 17842968 is about 261.3098007988.

The spelling of 17842968 in words is "seventeen million, eight hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 1733 2574 3432 3466 5148 5199 6932 10296 10398 13864 15597 19063 20796 22529 31194 38126 41592 45058 57189 62388 67587 76252 90116 114378 124776 135174 152504 171567 180232 202761 228756 247819 270348 343134 405522 457512 495638 540696 686268 743457 811044 991276 1372536 1486914 1622088 1982552 2230371 2973828 4460742 5947656 8921484 17842968