Search a number
-
+
423960012 = 2232723193379
BaseRepresentation
bin11001010001010…
…001110111001100
31002112202101210200
4121101101313030
51332013210022
6110022533500
713335413010
oct3121216714
91075671720
10423960012
111a8350483
12b9b97290
1369ab0318
1440440540
1527347bac
hex19451dcc

423960012 has 144 divisors (see below), whose sum is σ = 1288035840. Its totient is φ = 114960384.

The previous prime is 423960011. The next prime is 423960029. The reversal of 423960012 is 210069324.

423960012 is a `hidden beast` number, since 42 + 3 + 9 + 600 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (423960011) 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, 1118439 + ... + 1118817.

Almost surely, 2423960012 is an apocalyptic number.

423960012 is a gapful number since it is divisible by the number (42) 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 423960012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644017920).

423960012 is an abundant number, since it is smaller than the sum of its proper divisors (864075828).

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

423960012 is a wasteful number, since it uses less digits than its factorization.

423960012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 423960012 is about 20590.2892646024. The cubic root of 423960012 is about 751.2335327503.

The spelling of 423960012 in words is "four hundred twenty-three million, nine hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 193 207 252 276 322 379 386 414 483 579 644 758 772 828 966 1137 1158 1351 1449 1516 1737 1932 2274 2316 2653 2702 2898 3411 3474 4053 4439 4548 5306 5404 5796 6822 6948 7959 8106 8717 8878 10612 12159 13317 13644 15918 16212 17434 17756 23877 24318 26151 26634 31073 31836 34868 39951 47754 48636 52302 53268 61019 62146 73147 78453 79902 93219 95508 104604 122038 124292 146294 156906 159804 183057 186438 219441 244076 279657 292588 313812 366114 372876 438882 512029 549171 559314 658323 732228 877764 1024058 1098342 1118628 1316646 1536087 1682381 2048116 2196684 2633292 3072174 3364762 4608261 5047143 6144348 6729524 9216522 10094286 11776667 15141429 18433044 20188572 23553334 30282858 35330001 47106668 60565716 70660002 105990003 141320004 211980006 423960012