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130302414 = 232111993307
BaseRepresentation
bin1111100010001…
…00000111001110
3100002012001022100
413301010013032
5231324134124
620532455530
73141360264
oct761040716
9302161270
10130302414
1167609150
123777a5a6
1320cc3328
141343c434
15b68d1c9
hex7c441ce

130302414 has 48 divisors (see below), whose sum is σ = 309628800. Its totient is φ = 39275280.

The previous prime is 130302413. The next prime is 130302421. The reversal of 130302414 is 414203031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130302413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37749 + ... + 41055.

It is an arithmetic number, because the mean of its divisors is an integer number (6450600).

Almost surely, 2130302414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130302414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154814400).

130302414 is an abundant number, since it is smaller than the sum of its proper divisors (179326386).

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

130302414 is a wasteful number, since it uses less digits than its factorization.

130302414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130302414 is about 11415.0082785778. The cubic root of 130302414 is about 506.9722100007.

Adding to 130302414 its reverse (414203031), we get a palindrome (544505445).

The spelling of 130302414 in words is "one hundred thirty million, three hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 199 398 597 1194 1791 2189 3307 3582 4378 6567 6614 9921 13134 19701 19842 29763 36377 39402 59526 72754 109131 218262 327393 654786 658093 1316186 1974279 3948558 5922837 7239023 11845674 14478046 21717069 43434138 65151207 130302414