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130641324 = 223112573851
BaseRepresentation
bin1111100100101…
…10110110101100
3100002211021012120
413302112312230
5231421010244
620544032540
73144301332
oct762266654
9302737176
10130641324
116781a840
1237902750
13210b1678
14134c9b52
15b708819
hex7c96dac

130641324 has 48 divisors (see below), whose sum is σ = 333922176. Its totient is φ = 39424000.

The previous prime is 130641323. The next prime is 130641331. The reversal of 130641324 is 423146031.

It is a junction number, because it is equal to n+sod(n) for n = 130641294 and 130641303.

It is not an unprimeable number, because it can be changed into a prime (130641323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31999 + ... + 35849.

It is an arithmetic number, because the mean of its divisors is an integer number (6956712).

Almost surely, 2130641324 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 130641324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166961088).

130641324 is an abundant number, since it is smaller than the sum of its proper divisors (203280852).

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

130641324 is a wasteful number, since it uses less digits than its factorization.

130641324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 130641324 is about 11429.8435684833. The cubic root of 130641324 is about 507.4113658536.

Adding to 130641324 its reverse (423146031), we get a palindrome (553787355).

The spelling of 130641324 in words is "one hundred thirty million, six hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 514 771 1028 1542 2827 3084 3851 5654 7702 8481 11308 11553 15404 16962 23106 33924 42361 46212 84722 127083 169444 254166 508332 989707 1979414 2969121 3958828 5938242 10886777 11876484 21773554 32660331 43547108 65320662 130641324