Search a number
-
+
17930340 = 22325236171
BaseRepresentation
bin100010001100…
…1100001100100
31020201221210200
41010121201210
514042232330
61440150500
7305256021
oct104314144
936657720
1017930340
11a13736a
126008430
13393a38c
14254a548
151892a60
hex1119864

17930340 has 144 divisors (see below), whose sum is σ = 58496256. Its totient is φ = 4435200.

The previous prime is 17930327. The next prime is 17930347. The reversal of 17930340 is 4303971.

It is not an unprimeable number, because it can be changed into a prime (17930347) 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, 252505 + ... + 252575.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 217930340 is an apocalyptic number.

17930340 is a gapful number since it is divisible by the number (10) 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 17930340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128).

17930340 is an abundant number, since it is smaller than the sum of its proper divisors (40565916).

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

17930340 is a wasteful number, since it uses less digits than its factorization.

17930340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 17930340 is about 4234.4232192826. The cubic root of 17930340 is about 261.7356267234.

The spelling of 17930340 in words is "seventeen million, nine hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 61 69 71 90 92 115 122 138 142 180 183 207 213 230 244 276 284 305 345 355 366 414 426 460 549 610 639 690 710 732 828 852 915 1035 1065 1098 1220 1278 1380 1403 1420 1633 1830 2070 2130 2196 2556 2745 2806 3195 3266 3660 4140 4209 4260 4331 4899 5490 5612 6390 6532 7015 8165 8418 8662 9798 10980 12627 12780 12993 14030 14697 16330 16836 17324 19596 21045 21655 24495 25254 25986 28060 29394 32660 38979 42090 43310 48990 50508 51972 58788 63135 64965 73485 77958 84180 86620 97980 99613 126270 129930 146970 155916 194895 199226 252540 259860 293940 298839 389790 398452 498065 597678 779580 896517 996130 1195356 1494195 1793034 1992260 2988390 3586068 4482585 5976780 8965170 17930340