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260455104 = 26327134969
BaseRepresentation
bin11111000011000…
…11101011000000
3200011002111020100
433201203223000
51013134030404
641502242400
76311555220
oct1741435300
9604074210
10260455104
11124024858
1273286400
1341c63460
142683c080
1517cebd39
hexf863ac0

260455104 has 168 divisors, whose sum is σ = 919012640. Its totient is φ = 68677632.

The previous prime is 260455081. The next prime is 260455109. The reversal of 260455104 is 401554062.

260455104 is a `hidden beast` number, since 2 + 604 + 5 + 51 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2604551042 = 135673722399301632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260455109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49932 + ... + 54900.

Almost surely, 2260455104 is an apocalyptic number.

260455104 is a gapful number since it is divisible by the number (24) 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 260455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459506320).

260455104 is an abundant number, since it is smaller than the sum of its proper divisors (658557536).

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

260455104 is a wasteful number, since it uses less digits than its factorization.

260455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 260455104 is about 16138.6215024704. The cubic root of 260455104 is about 638.6226106661.

The spelling of 260455104 in words is "two hundred sixty million, four hundred fifty-five thousand, one hundred four".