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420423030 = 23255321663
BaseRepresentation
bin11001000011110…
…010010101110110
31002022002200222100
4121003302111312
51330112014110
6105415042530
713263352056
oct3103622566
91068080870
10420423030
111a6355055
12b8970446
1369142431
143db9d566
1526d99bc0
hex190f2576

420423030 has 72 divisors (see below), whose sum is σ = 1114783488. Its totient is φ = 109931328.

The previous prime is 420423007. The next prime is 420423077. The reversal of 420423030 is 30324024.

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

It is a junction number, because it is equal to n+sod(n) for n = 420422994 and 420423012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 251979 + ... + 253641.

It is an arithmetic number, because the mean of its divisors is an integer number (15483104).

Almost surely, 2420423030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420423030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557391744).

420423030 is an abundant number, since it is smaller than the sum of its proper divisors (694360458).

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

420423030 is a wasteful number, since it uses less digits than its factorization.

420423030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1726 counting only the distinct ones).

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

The square root of 420423030 is about 20504.2198095904. The cubic root of 420423030 is about 749.1385843295.

Adding to 420423030 its reverse (30324024), we get a palindrome (450747054).

The spelling of 420423030 in words is "four hundred twenty million, four hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 1663 2385 2809 3326 4770 4989 5618 8315 8427 9978 14045 14967 16630 16854 24945 25281 28090 29934 42135 49890 50562 74835 84270 88139 126405 149670 176278 252810 264417 440695 528834 793251 881390 1322085 1586502 2644170 3966255 4671367 7932510 9342734 14014101 23356835 28028202 42042303 46713670 70070505 84084606 140141010 210211515 420423030