Search a number
-
+
6039190080 = 26325711113241
BaseRepresentation
bin1011001111111011…
…01011101001000000
3120120212210122100200
411213331223221000
544332013040310
62435132445200
7302441161110
oct54775535100
916525718320
106039190080
112619a68990
121206619800
1375323aa71
144140d1040
152552c99c0
hex167f6ba40

6039190080 has 672 divisors, whose sum is σ = 26235525888. Its totient is φ = 1238630400.

The previous prime is 6039190067. The next prime is 6039190123. The reversal of 6039190080 is 800919306.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 25058760 + ... + 25059000.

Almost surely, 26039190080 is an apocalyptic number.

6039190080 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 6039190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117762944).

6039190080 is an abundant number, since it is smaller than the sum of its proper divisors (20196335808).

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

6039190080 is a wasteful number, since it uses less digits than its factorization.

6039190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 6039190080 is about 77712.2260651437. The cubic root of 6039190080 is about 1821.0682936389.

The spelling of 6039190080 in words is "six billion, thirty-nine million, one hundred ninety thousand, eighty".