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2730240 = 2833579
BaseRepresentation
bin1010011010100100000000
312010201012000
422122210000
51144331430
6134304000
732130612
oct12324400
95121160
102730240
1115a52a7
12ab8000
13747936
14510db2
1538de60
hex29a900

2730240 has 144 divisors (see below), whose sum is σ = 9811200. Its totient is φ = 718848.

The previous prime is 2730239. The next prime is 2730241. The reversal of 2730240 is 420372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2730239) and next prime (2730241).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730241) 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 15 ways as a sum of consecutive naturals, for example, 34521 + ... + 34599.

22730240 is an apocalyptic number.

2730240 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 2730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905600).

2730240 is an abundant number, since it is smaller than the sum of its proper divisors (7080960).

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

2730240 is an equidigital number, since it uses as much as digits as its factorization.

2730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2730240 is about 1652.3437898936. The cubic root of 2730240 is about 139.7655941414.

The spelling of 2730240 in words is "two million, seven hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 79 80 90 96 108 120 128 135 144 158 160 180 192 216 237 240 256 270 288 316 320 360 384 395 432 474 480 540 576 632 640 711 720 768 790 864 948 960 1080 1152 1185 1264 1280 1422 1440 1580 1728 1896 1920 2133 2160 2304 2370 2528 2844 2880 3160 3456 3555 3792 3840 4266 4320 4740 5056 5688 5760 6320 6912 7110 7584 8532 8640 9480 10112 10665 11376 11520 12640 14220 15168 17064 17280 18960 20224 21330 22752 25280 28440 30336 34128 34560 37920 42660 45504 50560 56880 60672 68256 75840 85320 91008 101120 113760 136512 151680 170640 182016 227520 273024 303360 341280 455040 546048 682560 910080 1365120 2730240