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130447408 = 24721312799
BaseRepresentation
bin1111100011001…
…11100000110000
3100002110102012111
413301213200300
5231343304113
620535535104
73142533100
oct761474060
9302412174
10130447408
11676a8083
123782a494
1321044320
1413479200
15b6bb13d
hex7c67830

130447408 has 60 divisors (see below), whose sum is σ = 316646400. Its totient is φ = 51601536.

The previous prime is 130447403. The next prime is 130447417. The reversal of 130447408 is 804744031.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130447408.

It is not an unprimeable number, because it can be changed into a prime (130447403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3793 + ... + 16591.

It is an arithmetic number, because the mean of its divisors is an integer number (5277440).

Almost surely, 2130447408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130447408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

130447408 is an abundant number, since it is smaller than the sum of its proper divisors (186198992).

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

130447408 is a wasteful number, since it uses less digits than its factorization.

130447408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12821 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 130447408 is about 11421.3575375259. The cubic root of 130447408 is about 507.1601847227.

The spelling of 130447408 in words is "one hundred thirty million, four hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 12799 25598 51196 89593 102392 166387 179186 204784 332774 358372 627151 665548 716744 1164709 1254302 1331096 1433488 2329418 2508604 2662192 4658836 5017208 8152963 9317672 10034416 16305926 18635344 32611852 65223704 130447408