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215296040 = 2355382401
BaseRepresentation
bin11001101010100…
…10100000101000
3120000010011122102
430311102200220
5420103433130
633210312532
75222662151
oct1465224050
9500104572
10215296040
11100590113
1260128748
13357b160b
1420844928
1513d7b645
hexcd52828

215296040 has 16 divisors (see below), whose sum is σ = 484416180. Its totient is φ = 86118400.

The previous prime is 215296013. The next prime is 215296063. The reversal of 215296040 is 40692512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 193822084 + 21473956 = 13922^2 + 4634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 215295994 and 215296012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2691161 + ... + 2691240.

Almost surely, 2215296040 is an apocalyptic number.

215296040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215296040 is an abundant number, since it is smaller than the sum of its proper divisors (269120140).

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

215296040 is a wasteful number, since it uses less digits than its factorization.

215296040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382412 (or 5382408 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 215296040 is about 14672.9697062319. The cubic root of 215296040 is about 599.3474757960.

It can be divided in two parts, 2152960 and 40, that multiplied together give a square (86118400 = 92802).

The spelling of 215296040 in words is "two hundred fifteen million, two hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5382401 10764802 21529604 26912005 43059208 53824010 107648020 215296040