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430205140 = 22529225577
BaseRepresentation
bin11001101001000…
…110100011010100
31002222111200111201
4121221012203110
51340113031030
6110404442244
713442453251
oct3151064324
91088450451
10430205140
11200926542
121000a9384
136b188a71
14411c8428
1527b7d2ca
hex19a468d4

430205140 has 36 divisors (see below), whose sum is σ = 935694396. Its totient is φ = 166141696.

The previous prime is 430205089. The next prime is 430205141. The reversal of 430205140 is 41502034.

It can be written as a sum of positive squares in 6 ways, for example, as 47141956 + 383063184 = 6866^2 + 19572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430205141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4032 + ... + 29608.

It is an arithmetic number, because the mean of its divisors is an integer number (25991511).

Almost surely, 2430205140 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 430205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467847198).

430205140 is an abundant number, since it is smaller than the sum of its proper divisors (505489256).

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

430205140 is a wasteful number, since it uses less digits than its factorization.

430205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25644 (or 25613 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 430205140 is about 20741.3871281551. The cubic root of 430205140 is about 754.9042405925.

Adding to 430205140 its reverse (41502034), we get a palindrome (471707174).

The spelling of 430205140 in words is "four hundred thirty million, two hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 8410 16820 25577 51154 102308 127885 255770 511540 741733 1483466 2966932 3708665 7417330 14834660 21510257 43020514 86041028 107551285 215102570 430205140