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3987894060 = 223453596857
BaseRepresentation
bin1110110110110010…
…0110111100101100
3101021220221000020000
43231230212330230
531131400102220
61455414224300
7200552353203
oct35554467454
911256830200
103987894060
111767075917
12933655090
134b7273437
1429b8c223a
15185183390
hexedb26f2c

3987894060 has 120 divisors (see below), whose sum is σ = 12546848160. Its totient is φ = 1060321536.

The previous prime is 3987894047. The next prime is 3987894083. The reversal of 3987894060 is 604987893.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3987893988 and 3987894006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 578152 + ... + 585008.

It is an arithmetic number, because the mean of its divisors is an integer number (104557068).

Almost surely, 23987894060 is an apocalyptic number.

3987894060 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 3987894060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273424080).

3987894060 is an abundant number, since it is smaller than the sum of its proper divisors (8558954100).

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

3987894060 is a wasteful number, since it uses less digits than its factorization.

3987894060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3987894060 is about 63149.7748214513. The cubic root of 3987894060 is about 1585.7980185358.

The spelling of 3987894060 in words is "three billion, nine hundred eighty-seven million, eight hundred ninety-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 359 405 540 718 810 1077 1436 1620 1795 2154 3231 3590 4308 5385 6462 6857 7180 9693 10770 12924 13714 16155 19386 20571 21540 27428 29079 32310 34285 38772 41142 48465 58158 61713 64620 68570 82284 96930 102855 116316 123426 137140 145395 185139 193860 205710 246852 290790 308565 370278 411420 555417 581580 617130 740556 925695 1110834 1234260 1851390 2221668 2461663 2777085 3702780 4923326 5554170 7384989 9846652 11108340 12308315 14769978 22154967 24616630 29539956 36924945 44309934 49233260 66464901 73849890 88619868 110774835 132929802 147699780 199394703 221549670 265859604 332324505 398789406 443099340 664649010 797578812 996973515 1329298020 1993947030 3987894060