Search a number
-
+
1215130560 = 263571931307
BaseRepresentation
bin100100001101101…
…0110101111000000
310010200111000202120
41020123112233000
54442033134220
6320324244240
742053303460
oct11033265700
93120430676
101215130560
11573a00636
1229ab40680
13164991387
14b754bba0
1571a28a40
hex486d6bc0

1215130560 has 448 divisors, whose sum is σ = 4806574080. Its totient is φ = 253808640.

The previous prime is 1215130531. The next prime is 1215130561. The reversal of 1215130560 is 650315121.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1215130560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215130561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3957927 + ... + 3958233.

It is an arithmetic number, because the mean of its divisors is an integer number (10728960).

Almost surely, 21215130560 is an apocalyptic number.

1215130560 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 1215130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403287040).

1215130560 is an abundant number, since it is smaller than the sum of its proper divisors (3591443520).

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

1215130560 is a wasteful number, since it uses less digits than its factorization.

1215130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1215130560 is about 34858.7228681717. The cubic root of 1215130560 is about 1067.1062112118.

Adding to 1215130560 its reverse (650315121), we get a palindrome (1865445681).

The spelling of 1215130560 in words is "one billion, two hundred fifteen million, one hundred thirty thousand, five hundred sixty".