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420232112 = 24172715701
BaseRepresentation
bin11001000011000…
…011101110110000
31002021202000002022
4121003003232300
51330034411422
6105411011012
713261625336
oct3103035660
91067660068
10420232112
111a6234673
12b8899a68
13690a6571
143db4db56
1526d5d342
hex190c3bb0

420232112 has 40 divisors (see below), whose sum is σ = 865426752. Its totient is φ = 196992000.

The previous prime is 420232097. The next prime is 420232133. The reversal of 420232112 is 211232024.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 7 ways as a sum of consecutive naturals, for example, 70862 + ... + 76562.

Almost surely, 2420232112 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 420232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432713376).

420232112 is an abundant number, since it is smaller than the sum of its proper divisors (445194640).

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

420232112 is a wasteful number, since it uses less digits than its factorization.

420232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420232112 is about 20499.5637026743. The cubic root of 420232112 is about 749.0251702323.

Adding to 420232112 its reverse (211232024), we get a palindrome (631464136).

The spelling of 420232112 in words is "four hundred twenty million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 271 272 542 1084 2168 4336 4607 5701 9214 11402 18428 22804 36856 45608 73712 91216 96917 193834 387668 775336 1544971 1550672 3089942 6179884 12359768 24719536 26264507 52529014 105058028 210116056 420232112