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130413402 = 234732347
BaseRepresentation
bin1111100010111…
…11001101011010
3100002101200120000
413301133031122
5231341212102
620535113430
73142332000
oct761371532
9302350500
10130413402
1167684579
1237812876
13210319c2
141346aa70
15b6b101c
hex7c5f35a

130413402 has 80 divisors (see below), whose sum is σ = 340929600. Its totient is φ = 37245096.

The previous prime is 130413389. The next prime is 130413407. The reversal of 130413402 is 204314031.

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 (130413407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54393 + ... + 56739.

It is an arithmetic number, because the mean of its divisors is an integer number (4261620).

Almost surely, 2130413402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130413402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170464800).

130413402 is an abundant number, since it is smaller than the sum of its proper divisors (210516198).

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

130413402 is an equidigital number, since it uses as much as digits as its factorization.

130413402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2359 counting only the distinct ones).

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

The square root of 130413402 is about 11419.8687382999. The cubic root of 130413402 is about 507.1161107970.

Adding to 130413402 its reverse (204314031), we get a palindrome (334727433).

It can be divided in two parts, 1304 and 13402, that added together give a triangular number (14706 = T171).

The spelling of 130413402 in words is "one hundred thirty million, four hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2347 2646 3087 3969 4694 6174 7041 7938 9261 14082 16429 18522 21123 27783 32858 42246 49287 55566 63369 98574 115003 126738 147861 190107 230006 295722 345009 380214 443583 690018 805021 887166 1035027 1330749 1610042 2070054 2415063 2661498 3105081 4830126 6210162 7245189 9315243 14490378 18630486 21735567 43471134 65206701 130413402