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260483040 = 25345101199
BaseRepresentation
bin11111000011010…
…10011111100000
3200011010220120000
433201222133200
51013140424130
641503020000
76312032526
oct1741523740
9604126500
10260483040
11124043844
127329a600
1341c7309c
1426848316
1517d05260
hexf86a7e0

260483040 has 240 divisors, whose sum is σ = 933055200. Its totient is φ = 68428800.

The previous prime is 260483033. The next prime is 260483057. The reversal of 260483040 is 40384062.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 260482995 and 260483013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1308861 + ... + 1309059.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2260483040 is an apocalyptic number.

260483040 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 260483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466527600).

260483040 is an abundant number, since it is smaller than the sum of its proper divisors (672572160).

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

260483040 is a wasteful number, since it uses less digits than its factorization.

260483040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 260483040 is about 16139.4869806943. The cubic root of 260483040 is about 638.6454423982.

The spelling of 260483040 in words is "two hundred sixty million, four hundred eighty-three thousand, forty".