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260671320 = 2332571373109
BaseRepresentation
bin11111000100110…
…00011101011000
3200011111110211100
433202120131120
51013212440240
641511031400
76313445460
oct1742303530
9604443740
10260671320
11124162248
127336b560
134200a9b0
1426896ba0
1517d40e30
hexf898758

260671320 has 384 divisors, whose sum is σ = 1066665600. Its totient is φ = 53747712.

The previous prime is 260671297. The next prime is 260671363. The reversal of 260671320 is 23176062.

It is a happy number.

260671320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2391426 + ... + 2391534.

It is an arithmetic number, because the mean of its divisors is an integer number (2777775).

Almost surely, 2260671320 is an apocalyptic number.

260671320 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 260671320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533332800).

260671320 is an abundant number, since it is smaller than the sum of its proper divisors (805994280).

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

260671320 is a wasteful number, since it uses less digits than its factorization.

260671320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 260671320 is about 16145.3188262109. The cubic root of 260671320 is about 638.7992786508.

The spelling of 260671320 in words is "two hundred sixty million, six hundred seventy-one thousand, three hundred twenty".