Search a number
-
+
1325660160 = 21135113923
BaseRepresentation
bin100111100000011…
…1111100000000000
310102101110111212110
41033000333200000
510203332111120
6335313255320
744564632266
oct11700774000
93371414773
101325660160
11620334110
1230bb64540
131818507c6
14c80c0436
157b5ad2e0
hex4f03f800

1325660160 has 192 divisors, whose sum is σ = 4627808640. Its totient is φ = 321290240.

The previous prime is 1325660117. The next prime is 1325660233. The reversal of 1325660160 is 610665231.

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

It is a super-2 number, since 2×13256601602 = 3514749719622451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 335959 + ... + 339881.

It is an arithmetic number, because the mean of its divisors is an integer number (24103170).

Almost surely, 21325660160 is an apocalyptic number.

1325660160 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 1325660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313904320).

1325660160 is an abundant number, since it is smaller than the sum of its proper divisors (3302148480).

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

1325660160 is a wasteful number, since it uses less digits than its factorization.

1325660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1325660160 is about 36409.6163121777. The cubic root of 1325660160 is about 1098.5269980914.

The spelling of 1325660160 in words is "one billion, three hundred twenty-five million, six hundred sixty thousand, one hundred sixty".