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2757132 = 223372521
BaseRepresentation
bin1010100001001000001100
312012002002000
422201020030
51201212012
6135032300
732302200
oct12411014
95162060
102757132
111613524
12b0b690
13756c51
1451ab00
15396ddc
hex2a120c

2757132 has 72 divisors (see below), whose sum is σ = 8331120. Its totient is φ = 786240.

The previous prime is 2757121. The next prime is 2757133. The reversal of 2757132 is 2317572.

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

It is a junction number, because it is equal to n+sod(n) for n = 2757096 and 2757105.

It is not an unprimeable number, because it can be changed into a prime (2757133) 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 23 ways as a sum of consecutive naturals, for example, 5032 + ... + 5552.

It is an arithmetic number, because the mean of its divisors is an integer number (115710).

22757132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2757132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165560).

2757132 is an abundant number, since it is smaller than the sum of its proper divisors (5573988).

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

2757132 is a wasteful number, since it uses less digits than its factorization.

2757132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 2757132 is about 1660.4613816647. The cubic root of 2757132 is about 140.2229780077. Note that the first 3 decimals are identical.

It can be divided in two parts, 27 and 57132, that multiplied together give a square (1542564 = 12422).

The spelling of 2757132 in words is "two million, seven hundred fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 521 588 756 882 1042 1323 1563 1764 2084 2646 3126 3647 4689 5292 6252 7294 9378 10941 14067 14588 18756 21882 25529 28134 32823 43764 51058 56268 65646 76587 98469 102116 131292 153174 196938 229761 306348 393876 459522 689283 919044 1378566 2757132