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2753040 = 243511471
BaseRepresentation
bin1010100000001000010000
312011212110110
422200020100
51201044130
6135001320
732254233
oct12401020
95155413
102753040
111610444
12b09240
13755124
1451941a
15395ab0
hex2a0210

2753040 has 40 divisors (see below), whose sum is σ = 8535168. Its totient is φ = 734080.

The previous prime is 2753039. The next prime is 2753063. The reversal of 2753040 is 403572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2752998 and 2753016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5496 + ... + 5975.

22753040 is an apocalyptic number.

2753040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2753040 is an abundant number, since it is smaller than the sum of its proper divisors (5782128).

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

2753040 is a wasteful number, since it uses less digits than its factorization.

2753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11487 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2753040 is about 1659.2287364917. The cubic root of 2753040 is about 140.1535729732.

The spelling of 2753040 in words is "two million, seven hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11471 22942 34413 45884 57355 68826 91768 114710 137652 172065 183536 229420 275304 344130 458840 550608 688260 917680 1376520 2753040