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240095025 = 325210332
BaseRepresentation
bin11100100111110…
…00111100110001
3121201210002110100
432103320330301
5442431020100
635454023013
75643526332
oct1623707461
9551702410
10240095025
11113588a45
12684a7a69
133a985181
1423c5c289
1516129400
hexe4f8f31

240095025 has 27 divisors (see below), whose sum is σ = 430453569. Its totient is φ = 127926720.

The previous prime is 240095017. The next prime is 240095047. The reversal of 240095025 is 520590042.

The square root of 240095025 is 15495.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46662561 + 193432464 = 6831^2 + 13908^2 .

It is not a de Polignac number, because 240095025 - 23 = 240095017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 240095025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 231909 + ... + 232941.

Almost surely, 2240095025 is an apocalyptic number.

240095025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240095025 is the 15495-th square number.

240095025 is the 7748-th centered octagonal number.

It is an amenable number.

240095025 is a deficient number, since it is larger than the sum of its proper divisors (190358544).

240095025 is an equidigital number, since it uses as much as digits as its factorization.

240095025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 1041 counting only the distinct ones).

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

The cubic root of 240095025 is about 621.5285083598.

Multiplying 240095025 by its product of nonzero digits (3600), we get a square (864342090000 = 9297002).

The spelling of 240095025 in words is "two hundred forty million, ninety-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1033 3099 5165 9297 15495 25825 46485 77475 232425 1067089 3201267 5335445 9603801 16006335 26677225 48019005 80031675 240095025