Search a number
-
+
1430105325 = 3521113712653
BaseRepresentation
bin101010100111101…
…1010110011101101
310200122222212200220
41111033122303231
510412101332300
6353524041553
750303460165
oct12517326355
93618885626
101430105325
11674291330
1233ab332b9
1319a38c68c
14d7d0b5a5
158583eda0
hex553daced

1430105325 has 48 divisors (see below), whose sum is σ = 2598422976. Its totient is φ = 688268800.

The previous prime is 1430105323. The next prime is 1430105329. The reversal of 1430105325 is 5235010341.

It is not a de Polignac number, because 1430105325 - 21 = 1430105323 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1430105295 and 1430105304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430105323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106699 + ... + 119351.

It is an arithmetic number, because the mean of its divisors is an integer number (54133812).

Almost surely, 21430105325 is an apocalyptic number.

1430105325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1430105325 is a deficient number, since it is larger than the sum of its proper divisors (1168317651).

1430105325 is a wasteful number, since it uses less digits than its factorization.

1430105325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12814 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1430105325 is about 37816.7333993829. The cubic root of 1430105325 is about 1126.6508306988.

Adding to 1430105325 its reverse (5235010341), we get a palindrome (6665115666).

The spelling of 1430105325 in words is "one billion, four hundred thirty million, one hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 137 165 275 411 685 825 1507 2055 3425 4521 7535 10275 12653 22605 37675 37959 63265 113025 139183 189795 316325 417549 695915 948975 1733461 2087745 3479575 5200383 8667305 10438725 19068071 26001915 43336525 57204213 95340355 130009575 286021065 476701775 1430105325