Search a number
-
+
430130540 = 225719915439
BaseRepresentation
bin11001101000110…
…100010101101100
31002222100220011202
4121220310111230
51340103134130
6110403105032
713442022620
oct3150642554
91088326152
10430130540
11200885494
12100072178
136b160b18
14411a9180
1527b66145
hex19a3456c

430130540 has 48 divisors (see below), whose sum is σ = 1037568000. Its totient is φ = 146722752.

The previous prime is 430130537. The next prime is 430130557. The reversal of 430130540 is 45031034.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20141 + ... + 35579.

It is an arithmetic number, because the mean of its divisors is an integer number (21616000).

Almost surely, 2430130540 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 430130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518784000).

430130540 is an abundant number, since it is smaller than the sum of its proper divisors (607437460).

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

430130540 is a wasteful number, since it uses less digits than its factorization.

430130540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15654 (or 15652 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 430130540 is about 20739.5887133762. The cubic root of 430130540 is about 754.8606031843.

Adding to 430130540 its reverse (45031034), we get a palindrome (475161574).

The spelling of 430130540 in words is "four hundred thirty million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1990 2786 3980 5572 6965 13930 15439 27860 30878 61756 77195 108073 154390 216146 308780 432292 540365 1080730 2161460 3072361 6144722 12289444 15361805 21506527 30723610 43013054 61447220 86026108 107532635 215065270 430130540