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3105828 = 22321122331
BaseRepresentation
bin1011110110010000100100
312211210101200
423312100210
51243341303
6150322500
735253615
oct13662044
95753350
103105828
111831500
121059430
1384988b
145abc0c
154153a3
hex2f6424

3105828 has 108 divisors (see below), whose sum is σ = 9295104. Its totient is φ = 871200.

The previous prime is 3105821. The next prime is 3105841. The reversal of 3105828 is 8285013.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3105821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100173 + ... + 100203.

Almost surely, 23105828 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 3105828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647552).

3105828 is an abundant number, since it is smaller than the sum of its proper divisors (6189276).

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

3105828 is a wasteful number, since it uses less digits than its factorization.

3105828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3105828 is about 1762.3359498121. The cubic root of 3105828 is about 145.9012906313.

The spelling of 3105828 in words is "three million, one hundred five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 31 33 36 44 46 62 66 69 92 93 99 121 124 132 138 186 198 207 242 253 276 279 341 363 372 396 414 484 506 558 682 713 726 759 828 1012 1023 1089 1116 1364 1426 1452 1518 2046 2139 2178 2277 2783 2852 3036 3069 3751 4092 4278 4356 4554 5566 6138 6417 7502 7843 8349 8556 9108 11132 11253 12276 12834 15004 15686 16698 22506 23529 25047 25668 31372 33396 33759 45012 47058 50094 67518 70587 86273 94116 100188 135036 141174 172546 258819 282348 345092 517638 776457 1035276 1552914 3105828