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3982860 = 22325729109
BaseRepresentation
bin1111001100011000001100
321111100110100
433030120030
52004422420
6221211100
745565560
oct17143014
97440410
103982860
112280422
121400a90
13a95b2b
147596a0
1553a190
hex3cc60c

3982860 has 144 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 870912.

The previous prime is 3982819. The next prime is 3982877. The reversal of 3982860 is 682893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36486 + ... + 36594.

It is an arithmetic number, because the mean of its divisors is an integer number (100100).

Almost surely, 23982860 is an apocalyptic number.

3982860 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 3982860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

3982860 is an abundant number, since it is smaller than the sum of its proper divisors (10431540).

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

3982860 is a wasteful number, since it uses less digits than its factorization.

3982860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3982860 is about 1995.7103998326. The cubic root of 3982860 is about 158.5130467887.

The spelling of 3982860 in words is "three million, nine hundred eighty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 109 116 126 140 145 174 180 203 210 218 252 261 290 315 327 348 406 420 435 436 522 545 580 609 630 654 763 812 870 981 1015 1044 1090 1218 1260 1305 1308 1526 1635 1740 1827 1962 2030 2180 2289 2436 2610 3045 3052 3161 3270 3654 3815 3924 4060 4578 4905 5220 6090 6322 6540 6867 7308 7630 9135 9156 9483 9810 11445 12180 12644 13734 15260 15805 18270 18966 19620 22127 22890 27468 28449 31610 34335 36540 37932 44254 45780 47415 56898 63220 66381 68670 88508 94830 110635 113796 132762 137340 142245 189660 199143 221270 265524 284490 331905 398286 442540 568980 663810 796572 995715 1327620 1991430 3982860