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420231240 = 233451113907
BaseRepresentation
bin11001000011000…
…011100001001000
31002021201221220000
4121003003201020
51330034344430
6105411003000
713261622652
oct3103034110
91067657800
10420231240
111a6233a50
12b8899460
13690a6050
143db4d6d2
1526d5ce60
hex190c3848

420231240 has 320 divisors, whose sum is σ = 1661204160. Its totient is φ = 93934080.

The previous prime is 420231233. The next prime is 420231269. The reversal of 420231240 is 42132024.

420231240 is a `hidden beast` number, since 420 + 2 + 3 + 1 + 240 = 666.

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 79 ways as a sum of consecutive naturals, for example, 462867 + ... + 463773.

It is an arithmetic number, because the mean of its divisors is an integer number (5191263).

Almost surely, 2420231240 is an apocalyptic number.

420231240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830602080).

420231240 is an abundant number, since it is smaller than the sum of its proper divisors (1240972920).

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

420231240 is a wasteful number, since it uses less digits than its factorization.

420231240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 941 counting only the distinct ones).

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

The square root of 420231240 is about 20499.5424339179. The cubic root of 420231240 is about 749.0246521453.

Adding to 420231240 its reverse (42132024), we get a palindrome (462363264).

The spelling of 420231240 in words is "four hundred twenty million, two hundred thirty-one thousand, two hundred forty".