Search a number
-
+
11039724720 = 24325471392347
BaseRepresentation
bin10100100100000010…
…01101010010110000
31001111101012010022100
422102001031102300
5140102132142340
65023243340400
7540401053233
oct122201152260
931441163270
1011039724720
114755700642
122181221700
13106c225abb
1476a29141a
154492d9830
hex29204d4b0

11039724720 has 240 divisors, whose sum is σ = 38152558080. Its totient is φ = 2859342336.

The previous prime is 11039724659. The next prime is 11039724791. The reversal of 11039724720 is 2742793011.

11039724720 is a `hidden beast` number, since 1 + 1 + 0 + 397 + 247 + 20 = 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4702587 + ... + 4704933.

It is an arithmetic number, because the mean of its divisors is an integer number (158968992).

Almost surely, 211039724720 is an apocalyptic number.

11039724720 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 11039724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19076279040).

11039724720 is an abundant number, since it is smaller than the sum of its proper divisors (27112833360).

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

11039724720 is a wasteful number, since it uses less digits than its factorization.

11039724720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11039724720 in words is "eleven billion, thirty-nine million, seven hundred twenty-four thousand, seven hundred twenty".