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130462208 = 291913411
BaseRepresentation
bin1111100011010…
…11001000000000
3100002111011111122
413301223020000
5231344242313
620540131412
73142624202
oct761531000
9302434448
10130462208
1167708208
1237836b68
132104ac96
1413480772
15b6c0708
hex7c6b200

130462208 has 40 divisors (see below), whose sum is σ = 274409520. Its totient is φ = 61793280.

The previous prime is 130462183. The next prime is 130462219. The reversal of 130462208 is 802264031.

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 3 ways as a sum of consecutive naturals, for example, 3023 + ... + 16433.

It is an arithmetic number, because the mean of its divisors is an integer number (6860238).

Almost surely, 2130462208 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 130462208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137204760).

130462208 is an abundant number, since it is smaller than the sum of its proper divisors (143947312).

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

130462208 is an equidigital number, since it uses as much as digits as its factorization.

130462208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 130462208 is about 11422.0054281199. The cubic root of 130462208 is about 507.1793640660.

The spelling of 130462208 in words is "one hundred thirty million, four hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 13411 26822 53644 107288 214576 254809 429152 509618 858304 1019236 1716608 2038472 3433216 4076944 6866432 8153888 16307776 32615552 65231104 130462208