Search a number
-
+
13710561120 = 2533519167039
BaseRepresentation
bin11001100010011011…
…01000111101100000
31022101111211200002000
430301031220331200
5211034400423440
610144252524000
7663521563254
oct146115507540
938344750060
1013710561120
1158a6288553
1227a7780600
1313a666b179
14940c92264
15553a0d730
hex331368f60

13710561120 has 192 divisors, whose sum is σ = 50512896000. Its totient is φ = 3463699968.

The previous prime is 13710561113. The next prime is 13710561121. The reversal of 13710561120 is 2116501731.

13710561120 is a `hidden beast` number, since 1 + 37 + 10 + 5 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13710561121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1440 + ... + 165599.

It is an arithmetic number, because the mean of its divisors is an integer number (263088000).

Almost surely, 213710561120 is an apocalyptic number.

13710561120 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 13710561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25256448000).

13710561120 is an abundant number, since it is smaller than the sum of its proper divisors (36802334880).

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

13710561120 is a wasteful number, since it uses less digits than its factorization.

13710561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167082 (or 167068 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 13710561120 in words is "thirteen billion, seven hundred ten million, five hundred sixty-one thousand, one hundred twenty".