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3982020 = 2235719499
BaseRepresentation
bin1111001100001011000100
321111022022020
433030023010
52004411040
6221203140
745563250
oct17141304
97438266
103982020
11227a829
1214004b0
13a95633
14759260
15539cd0
hex3cc2c4

3982020 has 96 divisors (see below), whose sum is σ = 13440000. Its totient is φ = 860544.

The previous prime is 3981973. The next prime is 3982031. The reversal of 3982020 is 202893.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7731 + ... + 8229.

It is an arithmetic number, because the mean of its divisors is an integer number (140000).

Almost surely, 23982020 is an apocalyptic number.

3982020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1995×1996.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3982020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720000).

3982020 is an abundant number, since it is smaller than the sum of its proper divisors (9457980).

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

3982020 is a wasteful number, since it uses less digits than its factorization.

3982020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3982020 is about 1995.4999373591. The cubic root of 3982020 is about 158.5019023413.

The spelling of 3982020 in words is "three million, nine hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 499 532 570 665 798 998 1140 1330 1497 1596 1995 1996 2495 2660 2994 3493 3990 4990 5988 6986 7485 7980 9481 9980 10479 13972 14970 17465 18962 20958 28443 29940 34930 37924 41916 47405 52395 56886 66367 69860 94810 104790 113772 132734 142215 189620 199101 209580 265468 284430 331835 398202 568860 663670 796404 995505 1327340 1991010 3982020