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210430240 = 2551578377
BaseRepresentation
bin11001000101011…
…10100100100000
3112122221222000121
430202232210200
5412332231430
632514130024
75133425146
oct1442564440
9478858017
10210430240
11a8867399
125a580914
1334799947
141dd39596
1513719a7a
hexc8ae920

210430240 has 48 divisors (see below), whose sum is σ = 500367672. Its totient is φ = 83625984.

The previous prime is 210430223. The next prime is 210430273. The reversal of 210430240 is 42034012.

It can be written as a sum of positive squares in 4 ways, for example, as 108743184 + 101687056 = 10428^2 + 10084^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20932 + ... + 29308.

Almost surely, 2210430240 is an apocalyptic number.

210430240 is a gapful number since it is divisible by the number (20) 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 210430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250183836).

210430240 is an abundant number, since it is smaller than the sum of its proper divisors (289937432).

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

210430240 is a wasteful number, since it uses less digits than its factorization.

210430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 210430240 is about 14506.2138409717. The cubic root of 210430240 is about 594.7978410738.

Adding to 210430240 its reverse (42034012), we get a palindrome (252464252).

The spelling of 210430240 in words is "two hundred ten million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 8377 12560 16754 25120 33508 41885 67016 83770 134032 167540 268064 335080 670160 1315189 1340320 2630378 5260756 6575945 10521512 13151890 21043024 26303780 42086048 52607560 105215120 210430240