Search a number
-
+
3998106 = 233721511
BaseRepresentation
bin1111010000000110011010
321112010101000
433100012122
52010414411
6221405430
745661200
oct17200632
97463330
103998106
112290922
121409876
13a9ca58
14761070
1553e956
hex3d019a

3998106 has 48 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1141560.

The previous prime is 3998089. The next prime is 3998107. The reversal of 3998106 is 6018993.

3998106 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998107) 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, 1891 + ... + 3401.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 23998106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3998106 is an abundant number, since it is smaller than the sum of its proper divisors (6343974).

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

3998106 is a wasteful number, since it uses less digits than its factorization.

3998106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3998106 is about 1999.5264439362. The cubic root of 3998106 is about 158.7150467614.

The spelling of 3998106 in words is "three million, nine hundred ninety-eight thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 1511 2646 3022 4533 9066 10577 13599 21154 27198 31731 40797 63462 74039 81594 95193 148078 190386 222117 285579 444234 571158 666351 1332702 1999053 3998106