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1328010180 = 2235714921221
BaseRepresentation
bin100111100100111…
…1101001111000100
310102112212220111020
41033021331033010
510204432311210
6335435511140
744623620540
oct11711751704
93375786436
101328010180
11621699782
123108b84b0
13182194353
14c8532a20
157b8c4770
hex4f27d3c4

1328010180 has 96 divisors (see below), whose sum is σ = 4278355200. Its totient is φ = 301493760.

The previous prime is 1328010163. The next prime is 1328010181. The reversal of 1328010180 is 810108231.

It is a super-2 number, since 2×13280101802 = 3527222076367264800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1328010180.

It is not an unprimeable number, because it can be changed into a prime (1328010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51970 + ... + 73190.

It is an arithmetic number, because the mean of its divisors is an integer number (44566200).

Almost surely, 21328010180 is an apocalyptic number.

1328010180 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 1328010180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139177600).

1328010180 is an abundant number, since it is smaller than the sum of its proper divisors (2950345020).

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

1328010180 is a wasteful number, since it uses less digits than its factorization.

1328010180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21389 (or 21387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1328010180 is about 36441.8739913304. The cubic root of 1328010180 is about 1099.1757406415.

The spelling of 1328010180 in words is "one billion, three hundred twenty-eight million, ten thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 149 210 298 420 447 596 745 894 1043 1490 1788 2086 2235 2980 3129 4172 4470 5215 6258 8940 10430 12516 15645 20860 21221 31290 42442 62580 63663 84884 106105 127326 148547 212210 254652 297094 318315 424420 445641 594188 636630 742735 891282 1273260 1485470 1782564 2228205 2970940 3161929 4456410 6323858 8912820 9485787 12647716 15809645 18971574 22133503 31619290 37943148 44267006 47428935 63238580 66400509 88534012 94857870 110667515 132801018 189715740 221335030 265602036 332002545 442670060 664005090 1328010180