Search a number
-
+
420232014 = 232371075897
BaseRepresentation
bin11001000011000…
…011101101001110
31002021201222221200
4121003003231032
51330034411024
6105411010330
713261625136
oct3103035516
91067658850
10420232014
111a6234594
12b88999a6
13690a64c7
143db4dac6
1526d5d2c9
hex190c3b4e

420232014 has 48 divisors (see below), whose sum is σ = 944010288. Its totient is φ = 134994816.

The previous prime is 420232003. The next prime is 420232037. The reversal of 420232014 is 410232024.

420232014 is a `hidden beast` number, since 420 + 232 + 0 + 14 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68314 + ... + 74210.

It is an arithmetic number, because the mean of its divisors is an integer number (19666881).

Almost surely, 2420232014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420232014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472005144).

420232014 is an abundant number, since it is smaller than the sum of its proper divisors (523778274).

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

420232014 is a wasteful number, since it uses less digits than its factorization.

420232014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420232014 is about 20499.5613123793. The cubic root of 420232014 is about 749.0251120069.

Adding to 420232014 its reverse (410232024), we get a palindrome (830464038).

The spelling of 420232014 in words is "four hundred twenty million, two hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 37 74 107 111 214 222 321 333 642 666 963 1926 3959 5897 7918 11794 11877 17691 23754 35382 35631 53073 71262 106146 218189 436378 630979 654567 1261958 1309134 1892937 1963701 3785874 3927402 5678811 11357622 23346223 46692446 70038669 140077338 210116007 420232014