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3981000 = 233531327
BaseRepresentation
bin1111001011111011001000
321111020220110
433023323020
52004343000
6221154320
745560262
oct17137310
97436813
103981000
112279a91
1213bb9a0
13a9502a
14758b32
15539850
hex3cbec8

3981000 has 64 divisors (see below), whose sum is σ = 12430080. Its totient is φ = 1060800.

The previous prime is 3980987. The next prime is 3981017. The reversal of 3981000 is 1893.

It is a super-2 number, since 2×39810002 = 31696722000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337 + ... + 3663.

It is an arithmetic number, because the mean of its divisors is an integer number (194220).

Almost surely, 23981000 is an apocalyptic number.

3981000 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 3981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215040).

3981000 is an abundant number, since it is smaller than the sum of its proper divisors (8449080).

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

3981000 is a wasteful number, since it uses less digits than its factorization.

3981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 3981000 is about 1995.2443459386. The cubic root of 3981000 is about 158.4883676908.

Adding to 3981000 its reverse (1893), we get a palindrome (3982893).

The spelling of 3981000 in words is "three million, nine hundred eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1327 1500 2654 3000 3981 5308 6635 7962 10616 13270 15924 19905 26540 31848 33175 39810 53080 66350 79620 99525 132700 159240 165875 199050 265400 331750 398100 497625 663500 796200 995250 1327000 1990500 3981000