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3260105472 = 283135361101
BaseRepresentation
bin1100001001010001…
…0100001100000000
322102012110111222010
43002110110030000
523134041333342
61255255212520
7143534303451
oct30224241400
98365414863
103260105472
111423276548
1276b977140
133cc5547c0
1422cd93128
1514132229c
hexc2514300

3260105472 has 288 divisors, whose sum is σ = 9772249536. Its totient is φ = 958464000.

The previous prime is 3260105389. The next prime is 3260105473. The reversal of 3260105472 is 2745010623.

It is not an unprimeable number, because it can be changed into a prime (3260105473) 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, 32278222 + ... + 32278322.

It is an arithmetic number, because the mean of its divisors is an integer number (33931422).

Almost surely, 23260105472 is an apocalyptic number.

3260105472 is a gapful number since it is divisible by the number (32) 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 3260105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886124768).

3260105472 is an abundant number, since it is smaller than the sum of its proper divisors (6512144064).

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

3260105472 is a wasteful number, since it uses less digits than its factorization.

3260105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3260105472 is about 57097.3333177654. Note that the first 4 decimals coincide. The cubic root of 3260105472 is about 1482.7816980836.

The spelling of 3260105472 in words is "three billion, two hundred sixty million, one hundred five thousand, four hundred seventy-two".