Search a number
-
+
3998060 = 22511171069
BaseRepresentation
bin1111010000000101101100
321112010022022
433100011230
52010414220
6221405312
745661103
oct17200554
97463268
103998060
112290890
121409838
13a9ca21
1476103a
1553e925
hex3d016c

3998060 has 48 divisors (see below), whose sum is σ = 9707040. Its totient is φ = 1367040.

The previous prime is 3998041. The next prime is 3998069. The reversal of 3998060 is 608993.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3998060.

It is not an unprimeable number, because it can be changed into a prime (3998069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3206 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (202230).

Almost surely, 23998060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853520).

3998060 is an abundant number, since it is smaller than the sum of its proper divisors (5708980).

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

3998060 is a wasteful number, since it uses less digits than its factorization.

3998060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 3998060 is about 1999.5149411795. The cubic root of 3998060 is about 158.7144380632.

The spelling of 3998060 in words is "three million, nine hundred ninety-eight thousand, sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1069 1870 2138 3740 4276 5345 10690 11759 18173 21380 23518 36346 47036 58795 72692 90865 117590 181730 199903 235180 363460 399806 799612 999515 1999030 3998060