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2725120 = 2852129
BaseRepresentation
bin1010011001010100000000
312010110011101
422121110000
51144200440
6134224144
732106646
oct12312400
95113141
102725120
1115a1472
12ab5054
137454c8
1450d196
1538c69a
hex299500

2725120 has 36 divisors (see below), whose sum is σ = 6530580. Its totient is φ = 1089536.

The previous prime is 2725057. The next prime is 2725127. The reversal of 2725120 is 215272.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 1893376 = 912^2 + 1376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725127) 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 3 ways as a sum of consecutive naturals, for example, 216 + ... + 2344.

It is an arithmetic number, because the mean of its divisors is an integer number (181405).

22725120 is an apocalyptic number.

2725120 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 2725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265290).

2725120 is an abundant number, since it is smaller than the sum of its proper divisors (3805460).

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

2725120 is an equidigital number, since it uses as much as digits as its factorization.

2725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2725120 is about 1650.7937484737. The cubic root of 2725120 is about 139.6781723240.

The spelling of 2725120 in words is "two million, seven hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2129 4258 8516 10645 17032 21290 34064 42580 68128 85160 136256 170320 272512 340640 545024 681280 1362560 2725120