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3115890 = 232589389
BaseRepresentation
bin1011111000101101110010
312212022012100
423320231302
51244202030
6150441230
735325141
oct13705562
95768170
103115890
111839018
121063216
1385132b
145b1758
15418360
hex2f8b72

3115890 has 48 divisors (see below), whose sum is σ = 8213400. Its totient is φ = 819456.

The previous prime is 3115883. The next prime is 3115897. The reversal of 3115890 is 985113.

It is an interprime number because it is at equal distance from previous prime (3115883) and next prime (3115897).

It can be written as a sum of positive squares in 4 ways, for example, as 1610361 + 1505529 = 1269^2 + 1227^2 .

It is not an unprimeable number, because it can be changed into a prime (3115897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7816 + ... + 8204.

Almost surely, 23115890 is an apocalyptic number.

3115890 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 3115890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106700).

3115890 is an abundant number, since it is smaller than the sum of its proper divisors (5097510).

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

3115890 is a wasteful number, since it uses less digits than its factorization.

3115890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 3115890 is about 1765.1883752167. The cubic root of 3115890 is about 146.0586803590.

It can be divided in two parts, 3115 and 890, that added together give a triangular number (4005 = T89).

The spelling of 3115890 in words is "three million, one hundred fifteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 389 445 534 778 801 890 1167 1335 1602 1945 2334 2670 3501 3890 4005 5835 7002 8010 11670 17505 34621 35010 69242 103863 173105 207726 311589 346210 519315 623178 1038630 1557945 3115890