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3981060 = 22325171301
BaseRepresentation
bin1111001011111100000100
321111020222200
433023330010
52004343220
6221154500
745560406
oct17137404
97436880
103981060
11227a036
1213bba30
13a95075
14758b76
15539890
hex3cbf04

3981060 has 72 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 998400.

The previous prime is 3981037. The next prime is 3981067. The reversal of 3981060 is 601893.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 3944196 = 192^2 + 1986^2 .

It is not an unprimeable number, because it can be changed into a prime (3981067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 23981060 is an apocalyptic number.

3981060 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 3981060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

3981060 is an abundant number, since it is smaller than the sum of its proper divisors (8814996).

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

3981060 is a wasteful number, since it uses less digits than its factorization.

3981060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3981060 is about 1995.2593816344. The cubic root of 3981060 is about 158.4891639107.

The spelling of 3981060 in words is "three million, nine hundred eighty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1301 1530 2602 3060 3903 5204 6505 7806 11709 13010 15612 19515 22117 23418 26020 39030 44234 46836 58545 66351 78060 88468 110585 117090 132702 199053 221170 234180 265404 331755 398106 442340 663510 796212 995265 1327020 1990530 3981060