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6061275540 = 22325171980809
BaseRepresentation
bin1011010010100011…
…11011100110010100
3120122102100200220200
411221101323212110
544403141304130
62441242100500
7303126664155
oct55121734624
916572320820
106061275540
112630483031
121211aaa730
137579a1498
14416ddd92c
152571dd760
hex16947b994

6061275540 has 72 divisors (see below), whose sum is σ = 19467400680. Its totient is φ = 1521260544.

The previous prime is 6061275511. The next prime is 6061275541. The reversal of 6061275540 is 455721606.

It is a happy number.

6061275540 is a `hidden beast` number, since 606 + 1 + 2 + 7 + 5 + 5 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 401120784 + 5660154756 = 20028^2 + 75234^2 .

It is a super-2 number, since 2×60612755402 = 73478122343604583200, which 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 = 6061275495 and 6061275504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6061275541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987345 + ... + 993464.

It is an arithmetic number, because the mean of its divisors is an integer number (270380565).

Almost surely, 26061275540 is an apocalyptic number.

6061275540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6061275540 is an abundant number, since it is smaller than the sum of its proper divisors (13406125140).

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

6061275540 is a wasteful number, since it uses less digits than its factorization.

6061275540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980841 (or 1980836 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6061275540 is about 77854.1941066761. The cubic root of 6061275540 is about 1823.2854895628.

The spelling of 6061275540 in words is "six billion, sixty-one million, two hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 1980809 3961618 5942427 7923236 9904045 11884854 17827281 19808090 23769708 29712135 33673753 35654562 39616180 59424270 67347506 71309124 89136405 101021259 118848540 134695012 168368765 178272810 202042518 303063777 336737530 356545620 404085036 505106295 606127554 673475060 1010212590 1212255108 1515318885 2020425180 3030637770 6061275540