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2754540 = 223355101
BaseRepresentation
bin1010100000011111101100
312011221112000
422200133230
51201121130
6135012300
732261505
oct12403754
95157460
102754540
111611588
12b0a090
13755a09
14519bac
15396260
hex2a07ec

2754540 has 48 divisors (see below), whose sum is σ = 8571360. Its totient is φ = 734400.

The previous prime is 2754523. The next prime is 2754541. The reversal of 2754540 is 454572.

2754540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27545402 = 15174981223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2754541) by changing a digit.

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, 2011 + ... + 3090.

It is an arithmetic number, because the mean of its divisors is an integer number (178570).

22754540 is an apocalyptic number.

2754540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2754540 is an abundant number, since it is smaller than the sum of its proper divisors (5816820).

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

2754540 is a wasteful number, since it uses less digits than its factorization.

2754540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2754540 is about 1659.6806921815. The cubic root of 2754540 is about 140.1790226808.

Subtracting from 2754540 its reverse (454572), we obtain a cube (2299968 = 1323).

The spelling of 2754540 in words is "two million, seven hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5101 10202 15303 20404 25505 30606 45909 51010 61212 76515 91818 102020 137727 153030 183636 229545 275454 306060 459090 550908 688635 918180 1377270 2754540