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3985275180 = 2235376129429
BaseRepresentation
bin1110110110001010…
…0111100100101100
3101021201222221210110
43231202213210230
531130212301210
61455242140020
7200521165035
oct35542474454
911251887713
103985275180
111765647257
129327b1610
134b68673c3
1429b3dda8c
15184d17420
hexed8a792c

3985275180 has 96 divisors (see below), whose sum is σ = 11648629440. Its totient is φ = 1017031680.

The previous prime is 3985275179. The next prime is 3985275181. The reversal of 3985275180 is 815725893.

It is an interprime number because it is at equal distance from previous prime (3985275179) and next prime (3985275181).

It is not an unprimeable number, because it can be changed into a prime (3985275181) 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, 120706 + ... + 150134.

It is an arithmetic number, because the mean of its divisors is an integer number (121339890).

Almost surely, 23985275180 is an apocalyptic number.

3985275180 is a gapful number since it is divisible by the number (30) 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 3985275180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824314720).

3985275180 is an abundant number, since it is smaller than the sum of its proper divisors (7663354260).

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

3985275180 is a wasteful number, since it uses less digits than its factorization.

3985275180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29539 (or 29537 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 3985275180 is about 63129.0359501870. The cubic root of 3985275180 is about 1585.4508073604.

The spelling of 3985275180 in words is "three billion, nine hundred eighty-five million, two hundred seventy-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 61 74 111 122 148 183 185 222 244 305 366 370 444 555 610 732 740 915 1110 1220 1830 2220 2257 3660 4514 6771 9028 11285 13542 22570 27084 29429 33855 45140 58858 67710 88287 117716 135420 147145 176574 294290 353148 441435 588580 882870 1088873 1765740 1795169 2177746 3266619 3590338 4355492 5385507 5444365 6533238 7180676 8975845 10771014 10888730 13066476 16333095 17951690 21542028 21777460 26927535 32666190 35903380 53855070 65332380 66421253 107710140 132842506 199263759 265685012 332106265 398527518 664212530 797055036 996318795 1328425060 1992637590 3985275180