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1325506560 = 2133572367
BaseRepresentation
bin100111100000001…
…1010000000000000
310102101011201011120
41033000122000000
510203312202220
6335310112240
744563422420
oct11700320000
93371151146
101325506560
11620239774
1230baab680
131817c8911
14c8080480
157b57ca40
hex4f01a000

1325506560 has 448 divisors, whose sum is σ = 5133514752. Its totient is φ = 285474816.

The previous prime is 1325506543. The next prime is 1325506571. The reversal of 1325506560 is 656055231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19783647 + ... + 19783713.

Almost surely, 21325506560 is an apocalyptic number.

1325506560 is a gapful number since it is divisible by the number (10) 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 1325506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566757376).

1325506560 is an abundant number, since it is smaller than the sum of its proper divisors (3808008192).

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

1325506560 is an equidigital number, since it uses as much as digits as its factorization.

1325506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 1325506560 is about 36407.5069182167. The cubic root of 1325506560 is about 1098.4845688502.

The spelling of 1325506560 in words is "one billion, three hundred twenty-five million, five hundred six thousand, five hundred sixty".