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2146080 = 253517263
BaseRepresentation
bin1000001011111100100000
311001000212110
420023330200
51022133310
6113555320
724145536
oct10137440
94030773
102146080
111236422
12875b40
135a1a91
143dc156
152c5d20
hex20bf20

2146080 has 96 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 536576.

The previous prime is 2146051. The next prime is 2146091. The reversal of 2146080 is 806412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8029 + ... + 8291.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

22146080 is an apocalyptic number.

2146080 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 2146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

2146080 is an abundant number, since it is smaller than the sum of its proper divisors (5038944).

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

2146080 is a wasteful number, since it uses less digits than its factorization.

2146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2146080 is about 1464.9505111095. The cubic root of 2146080 is about 128.9878000601.

The spelling of 2146080 in words is "two million, one hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 263 272 340 408 480 510 526 544 680 789 816 1020 1052 1315 1360 1578 1632 2040 2104 2630 2720 3156 3945 4080 4208 4471 5260 6312 7890 8160 8416 8942 10520 12624 13413 15780 17884 21040 22355 25248 26826 31560 35768 42080 44710 53652 63120 67065 71536 89420 107304 126240 134130 143072 178840 214608 268260 357680 429216 536520 715360 1073040 2146080