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130204424 = 23783109257
BaseRepresentation
bin1111100001011…
…00001100001000
3100002000001220002
413300230030020
5231313020144
620530422132
73140501510
oct760541410
9302001802
10130204424
1167551569
1237731948
1320c8a84c
1413414840
15b66e14e
hex7c2c308

130204424 has 64 divisors (see below), whose sum is σ = 286070400. Its totient is φ = 54411264.

The previous prime is 130204409. The next prime is 130204427. The reversal of 130204424 is 424402031.

It is a junction number, because it is equal to n+sod(n) for n = 130204396 and 130204405.

It is not an unprimeable number, because it can be changed into a prime (130204427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 506504 + ... + 506760.

It is an arithmetic number, because the mean of its divisors is an integer number (4469850).

Almost surely, 2130204424 is an apocalyptic number.

130204424 is a gapful number since it is divisible by the number (14) 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 130204424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143035200).

130204424 is an abundant number, since it is smaller than the sum of its proper divisors (155865976).

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

130204424 is a wasteful number, since it uses less digits than its factorization.

130204424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 130204424 is about 11410.7153150011. The cubic root of 130204424 is about 506.8450937446.

Adding to 130204424 its reverse (424402031), we get a palindrome (554606455).

The spelling of 130204424 in words is "one hundred thirty million, two hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 83 109 166 218 257 332 436 514 581 664 763 872 1028 1162 1526 1799 2056 2324 3052 3598 4648 6104 7196 9047 14392 18094 21331 28013 36188 42662 56026 63329 72376 85324 112052 126658 149317 170648 196091 224104 253316 298634 392182 506632 597268 784364 1194536 1568728 2325079 4650158 9300316 16275553 18600632 32551106 65102212 130204424