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260456144 = 24131252193
BaseRepresentation
bin11111000011000…
…11111011010000
3200011002112122212
433201203323100
51013134044034
641502251252
76311561234
oct1741437320
9604075585
10260456144
11124025613
1273286b28
1341c63a80
142683c5c4
1517cec2ce
hexf863ed0

260456144 has 20 divisors (see below), whose sum is σ = 543452196. Its totient is φ = 120210432.

The previous prime is 260456143. The next prime is 260456173. The reversal of 260456144 is 441654062.

It can be written as a sum of positive squares in 2 ways, for example, as 66912400 + 193543744 = 8180^2 + 13912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 260456144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260456143) 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, 625889 + ... + 626304.

Almost surely, 2260456144 is an apocalyptic number.

It is an amenable number.

260456144 is an abundant number, since it is smaller than the sum of its proper divisors (282996052).

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

260456144 is a wasteful number, since it uses less digits than its factorization.

260456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252214 (or 1252208 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 260456144 is about 16138.6537232819. The cubic root of 260456144 is about 638.6234606740.

The spelling of 260456144 in words is "two hundred sixty million, four hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1252193 2504386 5008772 10017544 16278509 20035088 32557018 65114036 130228072 260456144