Search a number
6100061040 = 2432517736827
BaseRepresentation
bin1011010111001011…
…11000101101110000
3120202010100012121200
411223211320231300
544443103423130
62445145251200
7304110443343
oct55345705560
916663305550
106100061040
112650364167
121222a93b00
13762a31298
1441c21845a
1525a800760
hex16b978b70

6100061040 has 240 divisors, whose sum is σ = 21991458528. Its totient is φ = 1509801984.

The previous prime is 6100061039. The next prime is 6100061047. The reversal of 6100061040 is 401600016.

6100061040 is a `hidden beast` number, since 6 + 10 + 0 + 0 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6100061047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890107 + ... + 896933.

Almost surely, 26100061040 is an apocalyptic number.

6100061040 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 6100061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995729264).

6100061040 is an abundant number, since it is smaller than the sum of its proper divisors (15891397488).

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

6100061040 is a wasteful number, since it uses less digits than its factorization.

6100061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6100061040 is about 78102.8875266465. The cubic root of 6100061040 is about 1827.1662313708.

Adding to 6100061040 its reverse (401600016), we get a palindrome (6501661056).

The spelling of 6100061040 in words is "six billion, one hundred million, sixty-one thousand, forty".