Search a number
-
+
1215056880 = 2432523239307
BaseRepresentation
bin100100001101100…
…0100101111110000
310010200100021200200
41020123010233300
54442023310010
6320322515200
742052545612
oct11033045760
93120307620
101215056880
11573960244
1229ab05b00
1316496698b
14b752cdb2
1571a11cc0
hex486c4bf0

1215056880 has 240 divisors, whose sum is σ = 4289725440. Its totient is φ = 307625472.

The previous prime is 1215056851. The next prime is 1215056917. The reversal of 1215056880 is 886505121.

1215056880 is a `hidden beast` number, since 1 + 2 + 15 + 0 + 568 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3957687 + ... + 3957993.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 21215056880 is an apocalyptic number.

1215056880 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 1215056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1215056880 is an abundant number, since it is smaller than the sum of its proper divisors (3074668560).

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

1215056880 is a wasteful number, since it uses less digits than its factorization.

1215056880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1215056880 is about 34857.6660148094. Note that the first 3 decimals coincide. The cubic root of 1215056880 is about 1067.0846426173.

The spelling of 1215056880 in words is "one billion, two hundred fifteen million, fifty-six thousand, eight hundred eighty".