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130450000 = 24552609
BaseRepresentation
bin1111100011010…
…00001001010000
3100002110112202111
413301220021100
5231343400000
620535555104
73142543462
oct761501120
9302415674
10130450000
11676aa01a
123782ba94
1321045565
141347a132
15b6bbcba
hex7c68250

130450000 has 60 divisors (see below), whose sum is σ = 316034460. Its totient is φ = 52160000.

The previous prime is 130449967. The next prime is 130450007. The reversal of 130450000 is 54031.

It can be written as a sum of positive squares in 6 ways, for example, as 108659776 + 21790224 = 10424^2 + 4668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130450007) by changing a digit.

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, 48696 + ... + 51304.

It is an arithmetic number, because the mean of its divisors is an integer number (5267241).

Almost surely, 2130450000 is an apocalyptic number.

130450000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158017230).

130450000 is an abundant number, since it is smaller than the sum of its proper divisors (185584460).

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

130450000 is an frugal number, since it uses more digits than its factorization.

130450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 130450000 is about 11421.4710085873. The cubic root of 130450000 is about 507.1635438043.

The spelling of 130450000 in words is "one hundred thirty million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2609 3125 5000 5218 6250 10000 10436 12500 13045 20872 25000 26090 41744 50000 52180 65225 104360 130450 208720 260900 326125 521800 652250 1043600 1304500 1630625 2609000 3261250 5218000 6522500 8153125 13045000 16306250 26090000 32612500 65225000 130450000