Search a number
-
+
423495540 = 22355136703
BaseRepresentation
bin11001001111100…
…000011101110100
31002111212210200000
4121033200131310
51331403324130
6110004551300
713331436606
oct3117403564
91074783600
10423495540
111a8063516
12b99b2530
1369979aa0
144035d176
15272a5260
hex193e0774

423495540 has 144 divisors (see below), whose sum is σ = 1434870528. Its totient is φ = 104229504.

The previous prime is 423495539. The next prime is 423495547. The reversal of 423495540 is 45594324.

It is a happy number.

423495540 is a `hidden beast` number, since 4 + 23 + 4 + 95 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 423495495 and 423495504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423495547) 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, 59829 + ... + 66531.

Almost surely, 2423495540 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 423495540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717435264).

423495540 is an abundant number, since it is smaller than the sum of its proper divisors (1011374988).

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

423495540 is a wasteful number, since it uses less digits than its factorization.

423495540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 423495540 is about 20579.0072646860. The cubic root of 423495540 is about 750.9590929980.

It can be divided in two parts, 42 and 3495540, that multiplied together give a triangular number (146812680 = T17135).

The spelling of 423495540 in words is "four hundred twenty-three million, four hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 6703 7020 10530 12636 13406 15795 20109 21060 26812 31590 33515 40218 60327 63180 67030 80436 87139 100545 120654 134060 174278 180981 201090 241308 261417 301635 348556 361962 402180 435695 522834 542943 603270 723924 784251 871390 904905 1045668 1085886 1206540 1307085 1568502 1628829 1742780 1809810 2171772 2352753 2614170 2714715 3137004 3257658 3619620 3921255 4705506 5228340 5429430 6515316 7058259 7842510 8144145 9411012 10858860 11763765 14116518 15685020 16288290 21174777 23527530 28233036 32576580 35291295 42349554 47055060 70582590 84699108 105873885 141165180 211747770 423495540