Search a number
-
+
420144030 = 23359831583
BaseRepresentation
bin11001000010101…
…110001110011110
31002021120112021000
4121002232032132
51330024102110
6105405051130
713261110465
oct3102561636
91067515230
10420144030
111a6184479
12b8856aa6
1369075447
143db299dc
1526d421c0
hex190ae39e

420144030 has 64 divisors (see below), whose sum is σ = 1122232320. Its totient is φ = 111853728.

The previous prime is 420144029. The next prime is 420144071. The reversal of 420144030 is 30441024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420143994 and 420144012.

It is a congruent number.

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, 264619 + ... + 266201.

It is an arithmetic number, because the mean of its divisors is an integer number (17534880).

Almost surely, 2420144030 is an apocalyptic number.

420144030 is an abundant number, since it is smaller than the sum of its proper divisors (702088290).

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

420144030 is a wasteful number, since it uses less digits than its factorization.

420144030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420144030 is about 20497.4152028981. The cubic root of 420144030 is about 748.9728338819.

Adding to 420144030 its reverse (30441024), we get a palindrome (450585054).

The spelling of 420144030 in words is "four hundred twenty million, one hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 983 1583 1966 2949 3166 4749 4915 5898 7915 8847 9498 9830 14247 14745 15830 17694 23745 26541 28494 29490 42741 44235 47490 53082 71235 85482 88470 132705 142470 213705 265410 427410 1556089 3112178 4668267 7780445 9336534 14004801 15560890 23341335 28009602 42014403 46682670 70024005 84028806 140048010 210072015 420144030