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3115080 = 2332517509
BaseRepresentation
bin1011111000100001001000
312212021002100
423320201020
51244140310
6150433400
735322603
oct13704110
95767070
103115080
111838451
121062860
13850b57
145b133a
15417ec0
hex2f8848

3115080 has 96 divisors (see below), whose sum is σ = 10740600. Its totient is φ = 780288.

The previous prime is 3115061. The next prime is 3115103. The reversal of 3115080 is 805113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3048516 + 66564 = 1746^2 + 258^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5866 + ... + 6374.

Almost surely, 23115080 is an apocalyptic number.

3115080 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 3115080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370300).

3115080 is an abundant number, since it is smaller than the sum of its proper divisors (7625520).

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

3115080 is a wasteful number, since it uses less digits than its factorization.

3115080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 3115080 is about 1764.9589230348. The cubic root of 3115080 is about 146.0460228963.

The spelling of 3115080 in words is "three million, one hundred fifteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 509 510 612 680 765 1018 1020 1224 1527 1530 2036 2040 2545 3054 3060 4072 4581 5090 6108 6120 7635 8653 9162 10180 12216 15270 17306 18324 20360 22905 25959 30540 34612 36648 43265 45810 51918 61080 69224 77877 86530 91620 103836 129795 155754 173060 183240 207672 259590 311508 346120 389385 519180 623016 778770 1038360 1557540 3115080