Search a number
-
+
3835140 = 2235411559
BaseRepresentation
bin1110101000010100000100
321012211211020
432220110010
51440211030
6214111140
744412111
oct16502404
97184736
103835140
11218a441
12134b4b0
13a4381a
1471b908
1550b510
hex3a8504

3835140 has 48 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 997120.

The previous prime is 3835123. The next prime is 3835157. The reversal of 3835140 is 415383.

It is an interprime number because it is at equal distance from previous prime (3835123) and next prime (3835157).

It is a d-powerful number, because it can be written as 3 + 87 + 313 + 57 + 1 + 48 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 3835140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1681 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 23835140 is an apocalyptic number.

3835140 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 3835140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3835140 is an abundant number, since it is smaller than the sum of its proper divisors (7172220).

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

3835140 is a wasteful number, since it uses less digits than its factorization.

3835140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3835140 is about 1958.3513474349. The cubic root of 3835140 is about 156.5286143652.

The spelling of 3835140 in words is "three million, eight hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1559 2460 3118 4677 6236 7795 9354 15590 18708 23385 31180 46770 63919 93540 127838 191757 255676 319595 383514 639190 767028 958785 1278380 1917570 3835140