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1305043420 = 225175967971
BaseRepresentation
bin100110111001001…
…0110000111011100
310100221200002000111
41031302112013130
510133042342140
6333255335404
744224454212
oct11562260734
93327602014
101305043420
1160a73248a
12305081564
1317a4b2755
14c5474cb2
15798897ea
hex4dc961dc

1305043420 has 96 divisors (see below), whose sum is σ = 2998114560. Its totient is φ = 475284480.

The previous prime is 1305043417. The next prime is 1305043429. The reversal of 1305043420 is 243405031.

It is a junction number, because it is equal to n+sod(n) for n = 1305043391 and 1305043400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305043429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343535 + ... + 1344505.

It is an arithmetic number, because the mean of its divisors is an integer number (31230360).

Almost surely, 21305043420 is an apocalyptic number.

1305043420 is a gapful number since it is divisible by the number (10) 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 1305043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499057280).

1305043420 is an abundant number, since it is smaller than the sum of its proper divisors (1693071140).

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

1305043420 is a wasteful number, since it uses less digits than its factorization.

1305043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1305043420 is about 36125.3847038340. The cubic root of 1305043420 is about 1092.8024343053.

Adding to 1305043420 its reverse (243405031), we get a palindrome (1548448451).

The spelling of 1305043420 in words is "one billion, three hundred five million, forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 67 68 85 118 134 170 236 268 295 335 340 590 670 971 1003 1139 1180 1340 1942 2006 2278 3884 3953 4012 4556 4855 5015 5695 7906 9710 10030 11390 15812 16507 19420 19765 20060 22780 33014 39530 57289 65057 66028 67201 79060 82535 114578 130114 134402 165070 229156 260228 268804 286445 325285 330140 336005 572890 650570 672010 973913 1105969 1145780 1301140 1344020 1947826 2211938 3838363 3895652 4423876 4869565 5529845 7676726 9739130 11059690 15353452 19191815 19478260 22119380 38383630 65252171 76767260 130504342 261008684 326260855 652521710 1305043420