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130327648 = 2511297347
BaseRepresentation
bin1111100010010…
…10010001100000
3100002020022220221
413301022101200
5231330441043
620533212424
73141523663
oct761122140
9302208827
10130327648
1167626100
1237791114
1321001969
14134476da
15b6958ed
hex7c4a460

130327648 has 72 divisors (see below), whose sum is σ = 285757416. Its totient is φ = 58460160.

The previous prime is 130327633. The next prime is 130327649. The reversal of 130327648 is 846723031.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130327649) 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, 375411 + ... + 375757.

It is an arithmetic number, because the mean of its divisors is an integer number (3968853).

Almost surely, 2130327648 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 130327648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142878708).

130327648 is an abundant number, since it is smaller than the sum of its proper divisors (155429768).

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

130327648 is a wasteful number, since it uses less digits than its factorization.

130327648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 130327648 is about 11416.1135243129. The cubic root of 130327648 is about 507.0049341604.

The spelling of 130327648 in words is "one hundred thirty million, three hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 97 121 176 194 242 347 352 388 484 694 776 968 1067 1388 1552 1936 2134 2776 3104 3817 3872 4268 5552 7634 8536 11104 11737 15268 17072 23474 30536 33659 34144 41987 46948 61072 67318 83974 93896 122144 134636 167948 187792 269272 335896 370249 375584 538544 671792 740498 1077088 1343584 1480996 2961992 4072739 5923984 8145478 11847968 16290956 32581912 65163824 130327648