Search a number
-
+
60104784240 = 2433543653991
BaseRepresentation
bin110111111110100001…
…100011100101110000
312202010210202101201000
4313332201203211300
51441043311043430
643340050042000
74225311144054
oct677641434560
9182123671630
1060104784240
1123543647006
12b794b79300
13588b3874b7
142ca276bc64
15186ba4ee60
hexdfe863970

60104784240 has 320 divisors, whose sum is σ = 212380692480. Its totient is φ = 15615452160.

The previous prime is 60104784239. The next prime is 60104784307. The reversal of 60104784240 is 4248740106.

60104784240 is a `hidden beast` number, since 60 + 104 + 78 + 424 + 0 = 666.

It is a super-2 number, since 2×601047842402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 60104784195 and 60104784204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60650145 + ... + 60651135.

It is an arithmetic number, because the mean of its divisors is an integer number (663689664).

Almost surely, 260104784240 is an apocalyptic number.

60104784240 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 60104784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106190346240).

60104784240 is an abundant number, since it is smaller than the sum of its proper divisors (152275908240).

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

60104784240 is a wasteful number, since it uses less digits than its factorization.

60104784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 60104784240 in words is "sixty billion, one hundred four million, seven hundred eighty-four thousand, two hundred forty".