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2730840 = 233573251
BaseRepresentation
bin1010011010101101011000
312010202000020
422122231120
51144341330
6134310440
732132430
oct12325530
95122006
102730840
1115a57a2
12ab8420
13747ca8
145112c0
1538e210
hex29ab58

2730840 has 64 divisors (see below), whose sum is σ = 9365760. Its totient is φ = 624000.

The previous prime is 2730823. The next prime is 2730869. The reversal of 2730840 is 480372.

2730840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2730840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (146340).

22730840 is an apocalyptic number.

2730840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2730840 is an abundant number, since it is smaller than the sum of its proper divisors (6634920).

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

2730840 is a wasteful number, since it uses less digits than its factorization.

2730840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2730840 is about 1652.5253401991. The cubic root of 2730840 is about 139.7758317291.

It can be divided in two parts, 2730 and 840, that added together give a triangular number (3570 = T84).

The spelling of 2730840 in words is "two million, seven hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3251 6502 9753 13004 16255 19506 22757 26008 32510 39012 45514 48765 65020 68271 78024 91028 97530 113785 130040 136542 182056 195060 227570 273084 341355 390120 455140 546168 682710 910280 1365420 2730840