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2494080 = 27325433
BaseRepresentation
bin1001100000111010000000
311200201020100
421200322000
51114302310
6125242400
730125241
oct11407200
94621210
102494080
111453926
12a03400
136942b4
1448ccc8
15343ec0
hex260e80

2494080 has 96 divisors (see below), whose sum is σ = 8632260. Its totient is φ = 663552.

The previous prime is 2494069. The next prime is 2494081. The reversal of 2494080 is 804942.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 207936 = 1512^2 + 456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2494081) by changing a digit.

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, 5544 + ... + 5976.

22494080 is an apocalyptic number.

2494080 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 2494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316130).

2494080 is an abundant number, since it is smaller than the sum of its proper divisors (6138180).

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

2494080 is a wasteful number, since it uses less digits than its factorization.

2494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

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

The square root of 2494080 is about 1579.2656521308. The cubic root of 2494080 is about 135.6136671426.

The spelling of 2494080 in words is "two million, four hundred ninety-four 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 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 433 480 576 640 720 866 960 1152 1299 1440 1732 1920 2165 2598 2880 3464 3897 4330 5196 5760 6495 6928 7794 8660 10392 12990 13856 15588 17320 19485 20784 25980 27712 31176 34640 38970 41568 51960 55424 62352 69280 77940 83136 103920 124704 138560 155880 166272 207840 249408 277120 311760 415680 498816 623520 831360 1247040 2494080