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2296080 = 243351063
BaseRepresentation
bin1000110000100100010000
311022122122000
420300210100
51041433310
6121114000
725342053
oct10604420
94278560
102296080
111329096
12928900
13625137
1443aa9a
153054c0
hex230910

2296080 has 80 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 611712.

The previous prime is 2296079. The next prime is 2296081. The reversal of 2296080 is 806922.

It is an interprime number because it is at equal distance from previous prime (2296079) and next prime (2296081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2296081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629 + ... + 2691.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

22296080 is an apocalyptic number.

2296080 is a gapful number since it is divisible by the number (20) 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 2296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2296080 is an abundant number, since it is smaller than the sum of its proper divisors (5620080).

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

2296080 is a wasteful number, since it uses less digits than its factorization.

2296080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2296080 is about 1515.2821519440. The cubic root of 2296080 is about 131.9255778831.

The spelling of 2296080 in words is "two million, two hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1063 1080 2126 2160 3189 4252 5315 6378 8504 9567 10630 12756 15945 17008 19134 21260 25512 28701 31890 38268 42520 47835 51024 57402 63780 76536 85040 95670 114804 127560 143505 153072 191340 229608 255120 287010 382680 459216 574020 765360 1148040 2296080