Search a number
-
+
6160112640 = 210335114051
BaseRepresentation
bin1011011110010101…
…11101110000000000
3120220022100010221000
411233022331300000
5100103442101030
62455132332000
7305440044033
oct55712756000
916808303830
106160112640
11268124a890
12123b014000
137722c8886
144261ab01a
15260c13860
hex16f2bdc00

6160112640 has 352 divisors, whose sum is σ = 23887998720. Its totient is φ = 1492992000.

The previous prime is 6160112617. The next prime is 6160112671. The reversal of 6160112640 is 462110616.

6160112640 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 1 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518615 + ... + 1522665.

Almost surely, 26160112640 is an apocalyptic number.

6160112640 is a gapful number since it is divisible by the number (60) 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 6160112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943999360).

6160112640 is an abundant number, since it is smaller than the sum of its proper divisors (17727886080).

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

6160112640 is a wasteful number, since it uses less digits than its factorization.

6160112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4072 counting only the distinct ones).

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

The square root of 6160112640 is about 78486.3850613595. The cubic root of 6160112640 is about 1833.1424641696.

The spelling of 6160112640 in words is "six billion, one hundred sixty million, one hundred twelve thousand, six hundred forty".