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260438016 = 2113192397
BaseRepresentation
bin11111000010111…
…11100000000000
3200011001121210110
433201133200000
51013133004031
641502031320
76311454336
oct1741374000
9604047713
10260438016
11124012a33
1273278540
1341c58747
1426835b56
1517ce6c46
hexf85f800

260438016 has 192 divisors, whose sum is σ = 770515200. Its totient is φ = 77856768.

The previous prime is 260437987. The next prime is 260438021. The reversal of 260438016 is 610834062.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2684880 + ... + 2684976.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2260438016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

260438016 is an abundant number, since it is smaller than the sum of its proper divisors (510077184).

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

260438016 is a wasteful number, since it uses less digits than its factorization.

260438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 260438016 is about 16138.0920805404. The cubic root of 260438016 is about 638.6086440596.

The spelling of 260438016 in words is "two hundred sixty million, four hundred thirty-eight thousand, sixteen".