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130146400 = 2552162683
BaseRepresentation
bin1111100000111…
…10000001100000
3100001220010022001
413300132001200
5231304141100
620525253344
73140140366
oct760360140
9301803261
10130146400
1167511a0a
1237704254
1320c6a307
14133db636
15b65bd6a
hex7c1e060

130146400 has 36 divisors (see below), whose sum is σ = 317721852. Its totient is φ = 52058240.

The previous prime is 130146311. The next prime is 130146413. The reversal of 130146400 is 4641031.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 80542 + ... + 82141.

It is an arithmetic number, because the mean of its divisors is an integer number (8825607).

Almost surely, 2130146400 is an apocalyptic number.

130146400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130146400 is an abundant number, since it is smaller than the sum of its proper divisors (187575452).

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

130146400 is a wasteful number, since it uses less digits than its factorization.

130146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162703 (or 162690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130146400 is about 11408.1725092146. The cubic root of 130146400 is about 506.7697927973.

Adding to 130146400 its reverse (4641031), we get a palindrome (134787431).

The spelling of 130146400 in words is "one hundred thirty million, one hundred forty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 162683 325366 650732 813415 1301464 1626830 2602928 3253660 4067075 5205856 6507320 8134150 13014640 16268300 26029280 32536600 65073200 130146400