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4095540 = 2232561373
BaseRepresentation
bin1111100111111000110100
321201002000200
433213320310
52022024130
6223440500
746545231
oct17477064
97632020
104095540
112348049
121456130
13b051c7
14788788
1555d760
hex3e7e34

4095540 has 72 divisors (see below), whose sum is σ = 12660648. Its totient is φ = 1071360.

The previous prime is 4095529. The next prime is 4095547. The reversal of 4095540 is 455904.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 4088484 = 84^2 + 2022^2 .

It is a super-3 number, since 3×40955403 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4095547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10794 + ... + 11166.

Almost surely, 24095540 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 4095540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330324).

4095540 is an abundant number, since it is smaller than the sum of its proper divisors (8565108).

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

4095540 is a wasteful number, since it uses less digits than its factorization.

4095540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4095540 is about 2023.7440549635. The cubic root of 4095540 is about 159.9940101924.

The spelling of 4095540 in words is "four million, ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 373 549 610 732 746 915 1098 1119 1220 1492 1830 1865 2196 2238 2745 3357 3660 3730 4476 5490 5595 6714 7460 10980 11190 13428 16785 22380 22753 33570 45506 67140 68259 91012 113765 136518 204777 227530 273036 341295 409554 455060 682590 819108 1023885 1365180 2047770 4095540