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2386080 = 253251657
BaseRepresentation
bin1001000110100010100000
311111020002100
421012202200
51102323310
6123050400
726165334
oct11064240
94436070
102386080
11138a774
12970a00
136570a8
144617c4
15321ec0
hex2468a0

2386080 has 72 divisors (see below), whose sum is σ = 8147412. Its totient is φ = 635904.

The previous prime is 2386079. The next prime is 2386099. The reversal of 2386080 is 806832.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 63504 = 1524^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612 + ... + 2268.

22386080 is an apocalyptic number.

2386080 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 2386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073706).

2386080 is an abundant number, since it is smaller than the sum of its proper divisors (5761332).

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

2386080 is a wasteful number, since it uses less digits than its factorization.

2386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2386080 is about 1544.6941444830. The cubic root of 2386080 is about 133.6272405520.

The spelling of 2386080 in words is "two million, three hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1657 3314 4971 6628 8285 9942 13256 14913 16570 19884 24855 26512 29826 33140 39768 49710 53024 59652 66280 74565 79536 99420 119304 132560 149130 159072 198840 238608 265120 298260 397680 477216 596520 795360 1193040 2386080