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260445120 = 26351341509
BaseRepresentation
bin11111000011000…
…01001111000000
3200011001222112120
433201201033000
51013133220440
641502124240
76311514135
oct1741411700
9604058476
10260445120
11124018301
1273280680
1341c5ba50
142683858c
1517ce8dd0
hexf8613c0

260445120 has 224 divisors, whose sum is σ = 914034240. Its totient is φ = 62423040.

The previous prime is 260445113. The next prime is 260445121. The reversal of 260445120 is 21544062.

260445120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260445121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511426 + ... + 511934.

It is an arithmetic number, because the mean of its divisors is an integer number (4080510).

Almost surely, 2260445120 is an apocalyptic number.

260445120 is a gapful number since it is divisible by the number (20) 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 260445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457017120).

260445120 is an abundant number, since it is smaller than the sum of its proper divisors (653589120).

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

260445120 is a wasteful number, since it uses less digits than its factorization.

260445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 260445120 is about 16138.3121794071. The cubic root of 260445120 is about 638.6144504759.

Adding to 260445120 its reverse (21544062), we get a palindrome (281989182).

The spelling of 260445120 in words is "two hundred sixty million, four hundred forty-five thousand, one hundred twenty".