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130304400 = 24352108587
BaseRepresentation
bin1111100010001…
…00100110010000
3100002012011000220
413301010212100
5231324220100
620532513040
73141366132
oct761044620
9302164026
10130304400
116760a696
123777b780
1320cc41c5
141343d052
15b68daa0
hex7c44990

130304400 has 60 divisors (see below), whose sum is σ = 417412272. Its totient is φ = 34747520.

The previous prime is 130304387. The next prime is 130304411. The reversal of 130304400 is 4403031.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130304400.

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 11 ways as a sum of consecutive naturals, for example, 53094 + ... + 55493.

Almost surely, 2130304400 is an apocalyptic number.

130304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130304400 is an abundant number, since it is smaller than the sum of its proper divisors (287107872).

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

130304400 is a wasteful number, since it uses less digits than its factorization.

130304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108608 (or 108597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130304400 is about 11415.0952689848. The cubic root of 130304400 is about 506.9747856544.

Adding to 130304400 its reverse (4403031), we get a palindrome (134707431).

The spelling of 130304400 in words is "one hundred thirty million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 108587 217174 325761 434348 542935 651522 868696 1085870 1303044 1628805 1737392 2171740 2606088 2714675 3257610 4343480 5212176 5429350 6515220 8144025 8686960 10858700 13030440 16288050 21717400 26060880 32576100 43434800 65152200 130304400