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8181330 = 2352371167
BaseRepresentation
bin11111001101011001010010
3120101122200020
4133031121102
54043300310
6451204310
7126353163
oct37153122
916348606
108181330
114688833
1228a6696
131905b31
14112d76a
15ab9170
hex7cd652

8181330 has 64 divisors (see below), whose sum is σ = 20901888. Its totient is φ = 2045120.

The previous prime is 8181317. The next prime is 8181347. The reversal of 8181330 is 331818.

It is a self number, because there is not a number n which added to its sum of digits gives 8181330.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48907 + ... + 49073.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 28181330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8181330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450944).

8181330 is an abundant number, since it is smaller than the sum of its proper divisors (12720558).

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

8181330 is a wasteful number, since it uses less digits than its factorization.

8181330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8181330 is about 2860.3024315621. The cubic root of 8181330 is about 201.4998080975.

The spelling of 8181330 in words is "eight million, one hundred eighty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 167 213 230 334 345 355 426 501 690 710 835 1002 1065 1633 1670 2130 2505 3266 3841 4899 5010 7682 8165 9798 11523 11857 16330 19205 23046 23714 24495 35571 38410 48990 57615 59285 71142 115230 118570 177855 272711 355710 545422 818133 1363555 1636266 2727110 4090665 8181330