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420230592 = 26369007
BaseRepresentation
bin11001000011000…
…011010111000000
31002021201221000000
4121003003113000
51330034334332
6105411000000
713261621035
oct3103032700
91067657000
10420230592
111a6233511
12b8899000
13690a5972
143db4d38c
1526d5cb7c
hex190c35c0

420230592 has 98 divisors (see below), whose sum is σ = 1250409488. Its totient is φ = 140061312.

The previous prime is 420230579. The next prime is 420230597. The reversal of 420230592 is 295032024.

420230592 is a `hidden beast` number, since 42 + 0 + 2 + 30 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420230597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 42153 + ... + 51159.

Almost surely, 2420230592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420230592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625204744).

420230592 is an abundant number, since it is smaller than the sum of its proper divisors (830178896).

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

420230592 is an frugal number, since it uses more digits than its factorization.

420230592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 420230592 is about 20499.5266286810. The cubic root of 420230592 is about 749.0242671443.

The spelling of 420230592 in words is "four hundred twenty million, two hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 9007 11664 15552 18014 23328 27021 36028 46656 54042 72056 81063 108084 144112 162126 216168 243189 288224 324252 432336 486378 576448 648504 729567 864672 972756 1297008 1459134 1729344 1945512 2188701 2594016 2918268 3891024 4377402 5188032 5836536 6566103 7782048 8754804 11673072 13132206 15564096 17509608 23346144 26264412 35019216 46692288 52528824 70038432 105057648 140076864 210115296 420230592