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2295072 = 253213613
BaseRepresentation
bin1000110000010100100000
311022121020200
420300110200
51041420242
6121105200
725336113
oct10602440
94277220
102295072
11132835a
12928200
13624840
1443a57a
1530504c
hex230520

2295072 has 72 divisors (see below), whose sum is σ = 7040124. Its totient is φ = 705024.

The previous prime is 2295071. The next prime is 2295077. The reversal of 2295072 is 2705922.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 646416 = 1284^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2295071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3438 + ... + 4050.

22295072 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 2295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520062).

2295072 is an abundant number, since it is smaller than the sum of its proper divisors (4745052).

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

2295072 is a wasteful number, since it uses less digits than its factorization.

2295072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2295072 is about 1514.9495041090. The cubic root of 2295072 is about 131.9062695479.

The spelling of 2295072 in words is "two million, two hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 613 624 936 1226 1248 1839 1872 2452 3678 3744 4904 5517 7356 7969 9808 11034 14712 15938 19616 22068 23907 29424 31876 44136 47814 58848 63752 71721 88272 95628 127504 143442 176544 191256 255008 286884 382512 573768 765024 1147536 2295072