Search a number
-
+
6019090560 = 2736571997
BaseRepresentation
bin1011001101100010…
…00000100010000000
3120112110222111000000
411212301000202000
544311341344220
62433134000000
7302105265660
oct54661004200
916473874000
106019090560
11260968a90a
1211bb946000
1374c021262
1441157c1a0
15253659390
hex166c40880

6019090560 has 896 divisors, whose sum is σ = 26221507200. Its totient is φ = 1289945088.

The previous prime is 6019090549. The next prime is 6019090607. The reversal of 6019090560 is 650909106.

6019090560 is a `hidden beast` number, since 6 + 0 + 1 + 9 + 0 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×60190905602 = 72458902338962227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62052432 + ... + 62052528.

It is an arithmetic number, because the mean of its divisors is an integer number (29265075).

Almost surely, 26019090560 is an apocalyptic number.

6019090560 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 6019090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110753600).

6019090560 is an abundant number, since it is smaller than the sum of its proper divisors (20202416640).

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

6019090560 is an equidigital number, since it uses as much as digits as its factorization.

6019090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 6019090560 is about 77582.7980933918. The cubic root of 6019090560 is about 1819.0457663327.

Adding to 6019090560 its reverse (650909106), we get a palindrome (6669999666).

The spelling of 6019090560 in words is "six billion, nineteen million, ninety thousand, five hundred sixty".