Search a number
-
+
1113634080 = 25325131931101
BaseRepresentation
bin100001001100000…
…1011010100100000
32212121111110202200
41002120023110200
54240042242310
6302301013200
736411506406
oct10230132440
92777443680
101113634080
11521687849
12270b54200
131499456a0
14a7c8b476
1567b7a9c0
hex4260b520

1113634080 has 576 divisors, whose sum is σ = 4491002880. Its totient is φ = 248832000.

The previous prime is 1113634063. The next prime is 1113634129. The reversal of 1113634080 is 804363111.

1113634080 is a `hidden beast` number, since 11 + 13 + 634 + 0 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11026030 + ... + 11026130.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 21113634080 is an apocalyptic number.

1113634080 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 1113634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440).

1113634080 is an abundant number, since it is smaller than the sum of its proper divisors (3377368800).

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

1113634080 is a wasteful number, since it uses less digits than its factorization.

1113634080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1113634080 is about 33371.1564078921. The cubic root of 1113634080 is about 1036.5275211323.

Adding to 1113634080 its reverse (804363111), we get a palindrome (1917997191).

The spelling of 1113634080 in words is "one billion, one hundred thirteen million, six hundred thirty-four thousand, eighty".