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8266240 = 2953229
BaseRepresentation
bin11111100010001000000000
3120112222011001
4133202020000
54104004430
6453101344
7130155553
oct37421000
916488131
108266240
114736604
122927854
131935688
14115269a
15ad43ca
hex7e2200

8266240 has 40 divisors (see below), whose sum is σ = 19825740. Its totient is φ = 3305472.

The previous prime is 8266229. The next prime is 8266241. The reversal of 8266240 is 426628.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 246016 = 2832^2 + 496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 8266199 and 8266208.

It is not an unprimeable number, because it can be changed into a prime (8266241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 946 + ... + 4174.

Almost surely, 28266240 is an apocalyptic number.

8266240 is a gapful number since it is divisible by the number (80) 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 8266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9912870).

8266240 is an abundant number, since it is smaller than the sum of its proper divisors (11559500).

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

8266240 is an equidigital number, since it uses as much as digits as its factorization.

8266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 8266240 is about 2875.1069545323. The cubic root of 8266240 is about 202.1944994579.

The spelling of 8266240 in words is "eight million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3229 6458 12916 16145 25832 32290 51664 64580 103328 129160 206656 258320 413312 516640 826624 1033280 1653248 2066560 4133120 8266240