Search a number
-
+
423282540 = 223543359457
BaseRepresentation
bin11001001110101…
…100011101101100
31002111110222111010
4121032230131230
51331330020130
6110000225220
713326561612
oct3116543554
91074428433
10423282540
111a7a2848a
12b990b210
1369903b55
14403056b2
15272620b0
hex193ac76c

423282540 has 96 divisors (see below), whose sum is σ = 1218792960. Its totient is φ = 109702656.

The previous prime is 423282533. The next prime is 423282557. The reversal of 423282540 is 45282324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 423282498 and 423282507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925992 + ... + 926448.

It is an arithmetic number, because the mean of its divisors is an integer number (12695760).

Almost surely, 2423282540 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 423282540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609396480).

423282540 is an abundant number, since it is smaller than the sum of its proper divisors (795510420).

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

423282540 is a wasteful number, since it uses less digits than its factorization.

423282540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 423282540 is about 20573.8314370464. The cubic root of 423282540 is about 750.8331718679.

The spelling of 423282540 in words is "four hundred twenty-three million, two hundred eighty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 359 430 457 516 645 718 860 914 1077 1290 1371 1436 1795 1828 2154 2285 2580 2742 3590 4308 4570 5385 5484 6855 7180 9140 10770 13710 15437 19651 21540 27420 30874 39302 46311 58953 61748 77185 78604 92622 98255 117906 154370 164063 185244 196510 231555 235812 294765 308740 328126 393020 463110 492189 589530 656252 820315 926220 984378 1179060 1640630 1968756 2460945 3281260 4921890 7054709 9843780 14109418 21164127 28218836 35273545 42328254 70547090 84656508 105820635 141094180 211641270 423282540