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420798030 = 23531597669
BaseRepresentation
bin11001000101001…
…101111001001110
31002022210202101020
4121011031321032
51330211014110
6105431055010
713266503262
oct3105157116
91068722336
10420798030
111a6590874
12b8b11466
1369244023
143dc5a0a2
1526e20d70
hex1914de4e

420798030 has 64 divisors (see below), whose sum is σ = 1060300800. Its totient is φ = 106738560.

The previous prime is 420798019. The next prime is 420798071. The reversal of 420798030 is 30897024.

It is a super-3 number, since 3×4207980303 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420797982 and 420798000.

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, 51036 + ... + 58704.

It is an arithmetic number, because the mean of its divisors is an integer number (16567200).

Almost surely, 2420798030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420798030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530150400).

420798030 is an abundant number, since it is smaller than the sum of its proper divisors (639502770).

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

420798030 is a wasteful number, since it uses less digits than its factorization.

420798030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 420798030 is about 20513.3622305072. The cubic root of 420798030 is about 749.3612517108.

The spelling of 420798030 in words is "four hundred twenty million, seven hundred ninety-eight thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 295 310 354 465 590 885 930 1770 1829 3658 5487 7669 9145 10974 15338 18290 23007 27435 38345 46014 54870 76690 115035 230070 237739 452471 475478 713217 904942 1188695 1357413 1426434 2262355 2377390 2714826 3566085 4524710 6787065 7132170 13574130 14026601 28053202 42079803 70133005 84159606 140266010 210399015 420798030