Search a number
-
+
3108690 = 2325132657
BaseRepresentation
bin1011110110111101010010
312211221022200
423312331102
51243434230
6150344030
735265144
oct13667522
95757280
103108690
111833672
12105b016
1384ac80
145acc94
15416160
hex2f6f52

3108690 has 48 divisors (see below), whose sum is σ = 8707608. Its totient is φ = 764928.

The previous prime is 3108689. The next prime is 3108691. The reversal of 3108690 is 968013.

It is an interprime number because it is at equal distance from previous prime (3108689) and next prime (3108691).

It can be written as a sum of positive squares in 4 ways, for example, as 2169729 + 938961 = 1473^2 + 969^2 .

It is a super-2 number, since 2×31086902 = 19327907032200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3108691) 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, 159 + ... + 2498.

Almost surely, 23108690 is an apocalyptic number.

3108690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3108690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353804).

3108690 is an abundant number, since it is smaller than the sum of its proper divisors (5598918).

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

3108690 is a wasteful number, since it uses less digits than its factorization.

3108690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2680 counting only the distinct ones).

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

The square root of 3108690 is about 1763.1477533094. The cubic root of 3108690 is about 145.9460925646.

The spelling of 3108690 in words is "three million, one hundred eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2657 5314 7971 13285 15942 23913 26570 34541 39855 47826 69082 79710 103623 119565 172705 207246 239130 310869 345410 518115 621738 1036230 1554345 3108690