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420243030 = 232541611867
BaseRepresentation
bin11001000011000…
…110011001010110
31002021202120001200
4121003012121112
51330040234110
6105411133330
713262002224
oct3103063126
91067676050
10420243030
111a6241899
12b88a4246
13690ab51c
143db53b14
1526d616c0
hex190c6656

420243030 has 96 divisors (see below), whose sum is σ = 1138239648. Its totient is φ = 107481600.

The previous prime is 420242993. The next prime is 420243049. The reversal of 420243030 is 30342024.

420243030 is a `hidden beast` number, since 4 + 202 + 430 + 30 = 666.

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 = 420242994 and 420243012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224157 + ... + 226023.

It is an arithmetic number, because the mean of its divisors is an integer number (11856663).

Almost surely, 2420243030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420243030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569119824).

420243030 is an abundant number, since it is smaller than the sum of its proper divisors (717996618).

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

420243030 is a wasteful number, since it uses less digits than its factorization.

420243030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 420243030 is about 20499.8299992951. The cubic root of 420243030 is about 749.0316569537.

Adding to 420243030 its reverse (30342024), we get a palindrome (450585054).

It can be divided in two parts, 42024 and 3030, that added together give a palindrome (45054).

The spelling of 420243030 in words is "four hundred twenty million, two hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 61 82 90 122 123 183 205 246 305 366 369 410 549 610 615 738 915 1098 1230 1830 1845 1867 2501 2745 3690 3734 5002 5490 5601 7503 9335 11202 12505 15006 16803 18670 22509 25010 28005 33606 37515 45018 56010 75030 76547 84015 112545 113887 153094 168030 225090 227774 229641 341661 382735 459282 569435 683322 688923 765470 1024983 1138870 1148205 1377846 1708305 2049966 2296410 3416610 3444615 4669367 5124915 6889230 9338734 10249830 14008101 23346835 28016202 42024303 46693670 70040505 84048606 140081010 210121515 420243030