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130322440 = 23510093229
BaseRepresentation
bin1111100010010…
…01000000001000
3100002020001210001
413301021000020
5231330304230
620533132344
73141502543
oct761110010
9302201701
10130322440
11676221a6
123778a0b4
1320ccc491
141344585a
15b6940ca
hex7c49008

130322440 has 32 divisors (see below), whose sum is σ = 293607000. Its totient is φ = 52061184.

The previous prime is 130322407. The next prime is 130322449. The reversal of 130322440 is 44223031.

130322440 is a nontrivial binomial coefficient, being equal to C(16145, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 80676324 + 49646116 = 8982^2 + 7046^2 .

It is not an unprimeable number, because it can be changed into a prime (130322449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38746 + ... + 41974.

Almost surely, 2130322440 is an apocalyptic number.

130322440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130322440 is the 16144-th triangular number.

130322440 is the 5382-nd centered nonagonal number.

It is an amenable number.

130322440 is an abundant number, since it is smaller than the sum of its proper divisors (163284560).

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

130322440 is a wasteful number, since it uses less digits than its factorization.

130322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 130322440 is about 11415.8854233914. The cubic root of 130322440 is about 506.9981806257.

Adding to 130322440 its reverse (44223031), we get a palindrome (174545471).

The spelling of 130322440 in words is "one hundred thirty million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1009 2018 3229 4036 5045 6458 8072 10090 12916 16145 20180 25832 32290 40360 64580 129160 3258061 6516122 13032244 16290305 26064488 32580610 65161220 130322440