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3107880 = 233258997
BaseRepresentation
bin1011110110110000101000
312211220012200
423312300220
51243423010
6150340200
735262606
oct13666050
95756180
103107880
111832aa6
12105a660
1384a7a9
145ac876
15415cc0
hex2f6c28

3107880 has 96 divisors (see below), whose sum is σ = 10319400. Its totient is φ = 811008.

The previous prime is 3107873. The next prime is 3107891. The reversal of 3107880 is 887013.

3107880 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1954404 + 1153476 = 1398^2 + 1074^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31992 + ... + 32088.

Almost surely, 23107880 is an apocalyptic number.

3107880 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 3107880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159700).

3107880 is an abundant number, since it is smaller than the sum of its proper divisors (7211520).

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

3107880 is a wasteful number, since it uses less digits than its factorization.

3107880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3107880 is about 1762.9180355309. The cubic root of 3107880 is about 145.9334155631.

The spelling of 3107880 in words is "three million, one hundred seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 97 120 178 180 194 267 291 356 360 388 445 485 534 582 712 776 801 873 890 970 1068 1164 1335 1455 1602 1746 1780 1940 2136 2328 2670 2910 3204 3492 3560 3880 4005 4365 5340 5820 6408 6984 8010 8633 8730 10680 11640 16020 17266 17460 25899 32040 34532 34920 43165 51798 69064 77697 86330 103596 129495 155394 172660 207192 258990 310788 345320 388485 517980 621576 776970 1035960 1553940 3107880