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423462006 = 23511219379
BaseRepresentation
bin11001001111011…
…000010001110110
31002111211002200000
4121033120101312
51331401241011
6110004132130
713331240052
oct3117302166
91074732600
10423462006
111a8040300
12b9997046
1369967746
1440350c62
152729a356
hex193d8476

423462006 has 144 divisors (see below), whose sum is σ = 1103793600. Its totient is φ = 121247280.

The previous prime is 423462001. The next prime is 423462029. The reversal of 423462006 is 600264324.

423462006 is a `hidden beast` number, since 4 + 2 + 34 + 620 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423462001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1117125 + ... + 1117503.

Almost surely, 2423462006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423462006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551896800).

423462006 is an abundant number, since it is smaller than the sum of its proper divisors (680331594).

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

423462006 is a wasteful number, since it uses less digits than its factorization.

423462006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 423462006 is about 20578.1924862219. The cubic root of 423462006 is about 750.9392712018.

The spelling of 423462006 in words is "four hundred twenty-three million, four hundred sixty-two thousand, six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 121 162 171 198 209 242 243 297 342 363 379 418 486 513 594 627 726 758 891 1026 1089 1137 1254 1539 1782 1881 2178 2274 2299 2673 3078 3267 3411 3762 4169 4598 4617 5346 5643 6534 6822 6897 7201 8338 9234 9801 10233 11286 12507 13794 14402 16929 19602 20466 20691 21603 25014 29403 30699 33858 37521 41382 43206 45859 50787 58806 61398 62073 64809 75042 79211 91718 92097 101574 112563 124146 129618 137577 158422 184194 186219 194427 225126 237633 275154 337689 372438 388854 412731 475266 558657 583281 675378 712899 825462 871321 1013067 1117314 1166562 1238193 1425798 1742642 1749843 2026134 2138697 2476386 2613963 3499686 3714579 4277394 5227926 6416091 7429158 7841889 11143737 12832182 15683778 19248273 22287474 23525667 38496546 47051334 70577001 141154002 211731003 423462006