Search a number
-
+
1115568000 = 27325361127
BaseRepresentation
bin100001001111110…
…0011011110000000
32212202010201121100
41002133203132000
54241041134000
6302410254400
736434112561
oct10237433600
92782121540
101115568000
11522788828
12271727400
1314a171a11
14a8232168
1567e0da00
hex427e3780

1115568000 has 384 divisors, whose sum is σ = 4104023040. Its totient is φ = 290304000.

The previous prime is 1115567993. The next prime is 1115568001. The reversal of 1115568000 is 8655111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115568001) 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, 8783937 + ... + 8784063.

It is an arithmetic number, because the mean of its divisors is an integer number (10687560).

Almost surely, 21115568000 is an apocalyptic number.

1115568000 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 1115568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052011520).

1115568000 is an abundant number, since it is smaller than the sum of its proper divisors (2988455040).

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

1115568000 is a wasteful number, since it uses less digits than its factorization.

1115568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1115568000 is about 33400.1197602643. The cubic root of 1115568000 is about 1037.1271801209.

The spelling of 1115568000 in words is "one billion, one hundred fifteen million, five hundred sixty-eight thousand".