Search a number
-
+
1332103680 = 293251719179
BaseRepresentation
bin100111101100110…
…0100101000000000
310102211120212201100
41033121210220000
510212004304210
6340103334400
745003460125
oct11731445000
93384525640
101332103680
11623a35236
12312151400
13182c9863b
14c8cba74c
157be325c0
hex4f664a00

1332103680 has 480 divisors, whose sum is σ = 5170651200. Its totient is φ = 314966016.

The previous prime is 1332103667. The next prime is 1332103681. The reversal of 1332103680 is 863012331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (1332103681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7441831 + ... + 7442009.

It is an arithmetic number, because the mean of its divisors is an integer number (10772190).

Almost surely, 21332103680 is an apocalyptic number.

1332103680 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 1332103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585325600).

1332103680 is an abundant number, since it is smaller than the sum of its proper divisors (3838547520).

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

1332103680 is a wasteful number, since it uses less digits than its factorization.

1332103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1332103680 is about 36497.9955614004. The cubic root of 1332103680 is about 1100.3039600769.

The spelling of 1332103680 in words is "one billion, three hundred thirty-two million, one hundred three thousand, six hundred eighty".