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420305130 = 232573121521
BaseRepresentation
bin11001000011010…
…101100011101010
31002021212201020200
4121003111203222
51330044231010
6105412333030
713262351250
oct3103254352
91067781220
10420305130
111a6284513
12b8914176
136910087b
143db6c5d0
1526d74cc0
hex190d58ea

420305130 has 96 divisors (see below), whose sum is σ = 1289253888. Its totient is φ = 92966400.

The previous prime is 420305129. The next prime is 420305153. The reversal of 420305130 is 31503024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8770 + ... + 30290.

It is an arithmetic number, because the mean of its divisors is an integer number (13429728).

Almost surely, 2420305130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420305130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644626944).

420305130 is an abundant number, since it is smaller than the sum of its proper divisors (868948758).

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

420305130 is a wasteful number, since it uses less digits than its factorization.

420305130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21572 (or 21569 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 420305130 is about 20501.3445900507. The cubic root of 420305130 is about 749.0685503476.

Adding to 420305130 its reverse (31503024), we get a palindrome (451808154).

The spelling of 420305130 in words is "four hundred twenty million, three hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 21521 43042 64563 107605 129126 150647 193689 215210 301294 322815 387378 451941 645630 667151 753235 903882 968445 1334302 1355823 1506470 1936890 2001453 2259705 2711646 3335755 4002906 4519410 4670057 6004359 6671510 6779115 9340114 10007265 12008718 13558230 14010171 20014530 23350285 28020342 30021795 42030513 46700570 60043590 70050855 84061026 140101710 210152565 420305130