Search a number
-
+
1325600640 = 27345713281
BaseRepresentation
bin100111100000011…
…0000111110000000
310102101100111020000
41033000300332000
510203323210030
6335312120000
744564263620
oct11700607600
93371314200
101325600640
116202a3421
1230bb36000
1318182c6a0
14c80a6880
157b59a860
hex4f030f80

1325600640 has 640 divisors, whose sum is σ = 5847145920. Its totient is φ = 278691840.

The previous prime is 1325600623. The next prime is 1325600663. The reversal of 1325600640 is 460065231.

1325600640 is a `hidden beast` number, since 13 + 2 + 5 + 6 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717300 + ... + 4717580.

Almost surely, 21325600640 is an apocalyptic number.

1325600640 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 1325600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923572960).

1325600640 is an abundant number, since it is smaller than the sum of its proper divisors (4521545280).

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

1325600640 is a wasteful number, since it uses less digits than its factorization.

1325600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1325600640 is about 36408.7989365208. The cubic root of 1325600640 is about 1098.5105571494.

Adding to 1325600640 its reverse (460065231), we get a palindrome (1785665871).

The spelling of 1325600640 in words is "one billion, three hundred twenty-five million, six hundred thousand, six hundred forty".